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Finding the Fourth Proportional to 3,902.71, 5,384.66 and 2,330.23

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Solution

The fourth proportional to 3,902.71, 5,384.66 and 2,330.23 is: 3,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.71 : 5,384.66 = 2,330.23 : x
  2. Step 2: Convert to fraction form
    3,902.71/5,384.66 = 2,330.23/x
  3. Step 3: Cross multiply
    3,902.71x = 5,384.66 × 2,330.23
  4. Step 4: Simplify right side
    3,902.71x = 12,547,484.62
  5. Step 5: Solve for x
    x = 12,547,484.62/3,902.71
  6. Step 6: Final answer
    x = 3,215.07

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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.