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Finding the Fourth Proportional to 3,617.64, 5,428.16 and 1,538.15

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Solution

The fourth proportional to 3,617.64, 5,428.16 and 1,538.15 is: 2,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.64 : 5,428.16 = 1,538.15 : x
  2. Step 2: Convert to fraction form
    3,617.64/5,428.16 = 1,538.15/x
  3. Step 3: Cross multiply
    3,617.64x = 5,428.16 × 1,538.15
  4. Step 4: Simplify right side
    3,617.64x = 8,349,289.47
  5. Step 5: Solve for x
    x = 8,349,289.47/3,617.64
  6. Step 6: Final answer
    x = 2,307.94

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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.