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Finding the Fourth Proportional to 5,125.83, 7,686.84 and 1,615.29

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Solution

The fourth proportional to 5,125.83, 7,686.84 and 1,615.29 is: 2,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.83 : 7,686.84 = 1,615.29 : x
  2. Step 2: Convert to fraction form
    5,125.83/7,686.84 = 1,615.29/x
  3. Step 3: Cross multiply
    5,125.83x = 7,686.84 × 1,615.29
  4. Step 4: Simplify right side
    5,125.83x = 12,416,475.78
  5. Step 5: Solve for x
    x = 12,416,475.78/5,125.83
  6. Step 6: Final answer
    x = 2,422.33

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