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Finding the Fourth Proportional to 5,106.66, 7,660.29 and 1,597.17

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Solution

The fourth proportional to 5,106.66, 7,660.29 and 1,597.17 is: 2,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.66 : 7,660.29 = 1,597.17 : x
  2. Step 2: Convert to fraction form
    5,106.66/7,660.29 = 1,597.17/x
  3. Step 3: Cross multiply
    5,106.66x = 7,660.29 × 1,597.17
  4. Step 4: Simplify right side
    5,106.66x = 12,234,785.38
  5. Step 5: Solve for x
    x = 12,234,785.38/5,106.66
  6. Step 6: Final answer
    x = 2,395.85

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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.