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Finding the Fourth Proportional to 5,104.66, 7,657.29 and 1,595.17

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Solution

The fourth proportional to 5,104.66, 7,657.29 and 1,595.17 is: 2,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.66 : 7,657.29 = 1,595.17 : x
  2. Step 2: Convert to fraction form
    5,104.66/7,657.29 = 1,595.17/x
  3. Step 3: Cross multiply
    5,104.66x = 7,657.29 × 1,595.17
  4. Step 4: Simplify right side
    5,104.66x = 12,214,679.29
  5. Step 5: Solve for x
    x = 12,214,679.29/5,104.66
  6. Step 6: Final answer
    x = 2,392.85

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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.