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Finding the Fourth Proportional to 4,547.92, 6,812.96 and 2,358.08

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Solution

The fourth proportional to 4,547.92, 6,812.96 and 2,358.08 is: 3,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.92 : 6,812.96 = 2,358.08 : x
  2. Step 2: Convert to fraction form
    4,547.92/6,812.96 = 2,358.08/x
  3. Step 3: Cross multiply
    4,547.92x = 6,812.96 × 2,358.08
  4. Step 4: Simplify right side
    4,547.92x = 16,065,504.72
  5. Step 5: Solve for x
    x = 16,065,504.72/4,547.92
  6. Step 6: Final answer
    x = 3,532.50

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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.