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Finding the Fourth Proportional to 4,637.71, 6,948.47 and 3,862.69

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Solution

The fourth proportional to 4,637.71, 6,948.47 and 3,862.69 is: 5,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.71 : 6,948.47 = 3,862.69 : x
  2. Step 2: Convert to fraction form
    4,637.71/6,948.47 = 3,862.69/x
  3. Step 3: Cross multiply
    4,637.71x = 6,948.47 × 3,862.69
  4. Step 4: Simplify right side
    4,637.71x = 26,839,795.23
  5. Step 5: Solve for x
    x = 26,839,795.23/4,637.71
  6. Step 6: Final answer
    x = 5,787.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.