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Finding the Fourth Proportional to 5,089.60, 7,627.72 and 3,688.72

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Solution

The fourth proportional to 5,089.60, 7,627.72 and 3,688.72 is: 5,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.60 : 7,627.72 = 3,688.72 : x
  2. Step 2: Convert to fraction form
    5,089.60/7,627.72 = 3,688.72/x
  3. Step 3: Cross multiply
    5,089.60x = 7,627.72 × 3,688.72
  4. Step 4: Simplify right side
    5,089.60x = 28,136,523.32
  5. Step 5: Solve for x
    x = 28,136,523.32/5,089.60
  6. Step 6: Final answer
    x = 5,528.24

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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.