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Finding the Fourth Proportional to 4,957.60, 7,431 and 2,035.12

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Solution

The fourth proportional to 4,957.60, 7,431 and 2,035.12 is: 3,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.60 : 7,431 = 2,035.12 : x
  2. Step 2: Convert to fraction form
    4,957.60/7,431 = 2,035.12/x
  3. Step 3: Cross multiply
    4,957.60x = 7,431 × 2,035.12
  4. Step 4: Simplify right side
    4,957.60x = 15,122,976.72
  5. Step 5: Solve for x
    x = 15,122,976.72/4,957.60
  6. Step 6: Final answer
    x = 3,050.46

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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.