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Finding the Fourth Proportional to 5,277.12, 7,916.10 and 2,354.64

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Solution

The fourth proportional to 5,277.12, 7,916.10 and 2,354.64 is: 3,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.12 : 7,916.10 = 2,354.64 : x
  2. Step 2: Convert to fraction form
    5,277.12/7,916.10 = 2,354.64/x
  3. Step 3: Cross multiply
    5,277.12x = 7,916.10 × 2,354.64
  4. Step 4: Simplify right side
    5,277.12x = 18,639,565.70
  5. Step 5: Solve for x
    x = 18,639,565.70/5,277.12
  6. Step 6: Final answer
    x = 3,532.15

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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.