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Finding the Fourth Proportional to 3,617.64, 5,426.02 and 1,538.48

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Solution

The fourth proportional to 3,617.64, 5,426.02 and 1,538.48 is: 2,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.64 : 5,426.02 = 1,538.48 : x
  2. Step 2: Convert to fraction form
    3,617.64/5,426.02 = 1,538.48/x
  3. Step 3: Cross multiply
    3,617.64x = 5,426.02 × 1,538.48
  4. Step 4: Simplify right side
    3,617.64x = 8,347,823.25
  5. Step 5: Solve for x
    x = 8,347,823.25/3,617.64
  6. Step 6: Final answer
    x = 2,307.53

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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.