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Finding the Fourth Proportional to 3,538.92, 5,298.93 and 2,925.30

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Solution

The fourth proportional to 3,538.92, 5,298.93 and 2,925.30 is: 4,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.92 : 5,298.93 = 2,925.30 : x
  2. Step 2: Convert to fraction form
    3,538.92/5,298.93 = 2,925.30/x
  3. Step 3: Cross multiply
    3,538.92x = 5,298.93 × 2,925.30
  4. Step 4: Simplify right side
    3,538.92x = 15,500,959.93
  5. Step 5: Solve for x
    x = 15,500,959.93/3,538.92
  6. Step 6: Final answer
    x = 4,380.14

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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.