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Finding the Fourth Proportional to 3,691.72, 5,088.81 and 2,510.74

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Solution

The fourth proportional to 3,691.72, 5,088.81 and 2,510.74 is: 3,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.72 : 5,088.81 = 2,510.74 : x
  2. Step 2: Convert to fraction form
    3,691.72/5,088.81 = 2,510.74/x
  3. Step 3: Cross multiply
    3,691.72x = 5,088.81 × 2,510.74
  4. Step 4: Simplify right side
    3,691.72x = 12,776,678.82
  5. Step 5: Solve for x
    x = 12,776,678.82/3,691.72
  6. Step 6: Final answer
    x = 3,460.90

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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.