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Finding the Fourth Proportional to 3,788.47, 5,680.84 and 1,596.61

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Solution

The fourth proportional to 3,788.47, 5,680.84 and 1,596.61 is: 2,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.47 : 5,680.84 = 1,596.61 : x
  2. Step 2: Convert to fraction form
    3,788.47/5,680.84 = 1,596.61/x
  3. Step 3: Cross multiply
    3,788.47x = 5,680.84 × 1,596.61
  4. Step 4: Simplify right side
    3,788.47x = 9,070,085.95
  5. Step 5: Solve for x
    x = 9,070,085.95/3,788.47
  6. Step 6: Final answer
    x = 2,394.13

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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.