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Finding the Fourth Proportional to 5,898.36, 8,140.08 and 3,246

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Solution

The fourth proportional to 5,898.36, 8,140.08 and 3,246 is: 4,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.36 : 8,140.08 = 3,246 : x
  2. Step 2: Convert to fraction form
    5,898.36/8,140.08 = 3,246/x
  3. Step 3: Cross multiply
    5,898.36x = 8,140.08 × 3,246
  4. Step 4: Simplify right side
    5,898.36x = 26,422,699.68
  5. Step 5: Solve for x
    x = 26,422,699.68/5,898.36
  6. Step 6: Final answer
    x = 4,479.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.