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Finding the Fourth Proportional to 4,737.86, 7,107.40 and 2,543.58

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Solution

The fourth proportional to 4,737.86, 7,107.40 and 2,543.58 is: 3,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.86 : 7,107.40 = 2,543.58 : x
  2. Step 2: Convert to fraction form
    4,737.86/7,107.40 = 2,543.58/x
  3. Step 3: Cross multiply
    4,737.86x = 7,107.40 × 2,543.58
  4. Step 4: Simplify right side
    4,737.86x = 18,078,240.49
  5. Step 5: Solve for x
    x = 18,078,240.49/4,737.86
  6. Step 6: Final answer
    x = 3,815.70

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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.