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Finding the Fourth Proportional to 5,788.53, 8,684.16 and 2,502.57

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Solution

The fourth proportional to 5,788.53, 8,684.16 and 2,502.57 is: 3,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.53 : 8,684.16 = 2,502.57 : x
  2. Step 2: Convert to fraction form
    5,788.53/8,684.16 = 2,502.57/x
  3. Step 3: Cross multiply
    5,788.53x = 8,684.16 × 2,502.57
  4. Step 4: Simplify right side
    5,788.53x = 21,732,718.29
  5. Step 5: Solve for x
    x = 21,732,718.29/5,788.53
  6. Step 6: Final answer
    x = 3,754.45

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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.