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Finding the Fourth Proportional to 5,002.53, 7,505.40 and 1,715.64

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Solution

The fourth proportional to 5,002.53, 7,505.40 and 1,715.64 is: 2,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.53 : 7,505.40 = 1,715.64 : x
  2. Step 2: Convert to fraction form
    5,002.53/7,505.40 = 1,715.64/x
  3. Step 3: Cross multiply
    5,002.53x = 7,505.40 × 1,715.64
  4. Step 4: Simplify right side
    5,002.53x = 12,876,564.46
  5. Step 5: Solve for x
    x = 12,876,564.46/5,002.53
  6. Step 6: Final answer
    x = 2,574.01

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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.