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Finding the Fourth Proportional to 6,898.38, 10,345.14 and 3,001.92

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Solution

The fourth proportional to 6,898.38, 10,345.14 and 3,001.92 is: 4,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.38 : 10,345.14 = 3,001.92 : x
  2. Step 2: Convert to fraction form
    6,898.38/10,345.14 = 3,001.92/x
  3. Step 3: Cross multiply
    6,898.38x = 10,345.14 × 3,001.92
  4. Step 4: Simplify right side
    6,898.38x = 31,055,282.67
  5. Step 5: Solve for x
    x = 31,055,282.67/6,898.38
  6. Step 6: Final answer
    x = 4,501.82

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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.