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Finding the Fourth Proportional to 5,153.58, 7,725.17 and 2,032.38

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Solution

The fourth proportional to 5,153.58, 7,725.17 and 2,032.38 is: 3,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.58 : 7,725.17 = 2,032.38 : x
  2. Step 2: Convert to fraction form
    5,153.58/7,725.17 = 2,032.38/x
  3. Step 3: Cross multiply
    5,153.58x = 7,725.17 × 2,032.38
  4. Step 4: Simplify right side
    5,153.58x = 15,700,486.09
  5. Step 5: Solve for x
    x = 15,700,486.09/5,153.58
  6. Step 6: Final answer
    x = 3,046.52

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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.