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Finding the Fourth Proportional to 5,005.46, 7,518.57 and 3,972.74

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Solution

The fourth proportional to 5,005.46, 7,518.57 and 3,972.74 is: 5,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.46 : 7,518.57 = 3,972.74 : x
  2. Step 2: Convert to fraction form
    5,005.46/7,518.57 = 3,972.74/x
  3. Step 3: Cross multiply
    5,005.46x = 7,518.57 × 3,972.74
  4. Step 4: Simplify right side
    5,005.46x = 29,869,323.78
  5. Step 5: Solve for x
    x = 29,869,323.78/5,005.46
  6. Step 6: Final answer
    x = 5,967.35

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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.