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Finding the Fourth Proportional to 5,097.47, 7,034.85 and 2,972.84

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Solution

The fourth proportional to 5,097.47, 7,034.85 and 2,972.84 is: 4,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.47 : 7,034.85 = 2,972.84 : x
  2. Step 2: Convert to fraction form
    5,097.47/7,034.85 = 2,972.84/x
  3. Step 3: Cross multiply
    5,097.47x = 7,034.85 × 2,972.84
  4. Step 4: Simplify right side
    5,097.47x = 20,913,448.30
  5. Step 5: Solve for x
    x = 20,913,448.30/5,097.47
  6. Step 6: Final answer
    x = 4,102.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.