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Finding the Fourth Proportional to 4,683, 6,462.49 and 2,587.13

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Solution

The fourth proportional to 4,683, 6,462.49 and 2,587.13 is: 3,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683 : 6,462.49 = 2,587.13 : x
  2. Step 2: Convert to fraction form
    4,683/6,462.49 = 2,587.13/x
  3. Step 3: Cross multiply
    4,683x = 6,462.49 × 2,587.13
  4. Step 4: Simplify right side
    4,683x = 16,719,301.75
  5. Step 5: Solve for x
    x = 16,719,301.75/4,683
  6. Step 6: Final answer
    x = 3,570.21

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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.