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Finding the Fourth Proportional to 5,434.92, 8,154.54 and 1,737.72

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Solution

The fourth proportional to 5,434.92, 8,154.54 and 1,737.72 is: 2,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.92 : 8,154.54 = 1,737.72 : x
  2. Step 2: Convert to fraction form
    5,434.92/8,154.54 = 1,737.72/x
  3. Step 3: Cross multiply
    5,434.92x = 8,154.54 × 1,737.72
  4. Step 4: Simplify right side
    5,434.92x = 14,170,307.25
  5. Step 5: Solve for x
    x = 14,170,307.25/5,434.92
  6. Step 6: Final answer
    x = 2,607.27

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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.