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Finding the Fourth Proportional to 5,052.96, 7,565.04 and 4,557.60

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Solution

The fourth proportional to 5,052.96, 7,565.04 and 4,557.60 is: 6,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.96 : 7,565.04 = 4,557.60 : x
  2. Step 2: Convert to fraction form
    5,052.96/7,565.04 = 4,557.60/x
  3. Step 3: Cross multiply
    5,052.96x = 7,565.04 × 4,557.60
  4. Step 4: Simplify right side
    5,052.96x = 34,478,426.30
  5. Step 5: Solve for x
    x = 34,478,426.30/5,052.96
  6. Step 6: Final answer
    x = 6,823.41

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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.