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Finding the Fourth Proportional to 3,398.15, 5,097.47 and 932.72

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Solution

The fourth proportional to 3,398.15, 5,097.47 and 932.72 is: 1,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.15 : 5,097.47 = 932.72 : x
  2. Step 2: Convert to fraction form
    3,398.15/5,097.47 = 932.72/x
  3. Step 3: Cross multiply
    3,398.15x = 5,097.47 × 932.72
  4. Step 4: Simplify right side
    3,398.15x = 4,754,482.07
  5. Step 5: Solve for x
    x = 4,754,482.07/3,398.15
  6. Step 6: Final answer
    x = 1,399.14

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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.