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Finding the Fourth Proportional to 4,354.07, 6,535.71 and 2,711.77

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Solution

The fourth proportional to 4,354.07, 6,535.71 and 2,711.77 is: 4,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.07 : 6,535.71 = 2,711.77 : x
  2. Step 2: Convert to fraction form
    4,354.07/6,535.71 = 2,711.77/x
  3. Step 3: Cross multiply
    4,354.07x = 6,535.71 × 2,711.77
  4. Step 4: Simplify right side
    4,354.07x = 17,723,325.97
  5. Step 5: Solve for x
    x = 17,723,325.97/4,354.07
  6. Step 6: Final answer
    x = 4,070.52

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