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Finding the Fourth Proportional to 3,847,398.39, 5,784,940.64 and 3,547,461.87

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Solution

The fourth proportional to 3,847,398.39, 5,784,940.64 and 3,547,461.87 is: 5,333,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847,398.39 : 5,784,940.64 = 3,547,461.87 : x
  2. Step 2: Convert to fraction form
    3,847,398.39/5,784,940.64 = 3,547,461.87/x
  3. Step 3: Cross multiply
    3,847,398.39x = 5,784,940.64 × 3,547,461.87
  4. Step 4: Simplify right side
    3,847,398.39x = 20,521,856,322,876.09
  5. Step 5: Solve for x
    x = 20,521,856,322,876.09/3,847,398.39
  6. Step 6: Final answer
    x = 5,333,956.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.