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Finding the Fourth Proportional to 5,158.66, 7,753.58 and 3,409.66

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Solution

The fourth proportional to 5,158.66, 7,753.58 and 3,409.66 is: 5,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.66 : 7,753.58 = 3,409.66 : x
  2. Step 2: Convert to fraction form
    5,158.66/7,753.58 = 3,409.66/x
  3. Step 3: Cross multiply
    5,158.66x = 7,753.58 × 3,409.66
  4. Step 4: Simplify right side
    5,158.66x = 26,437,071.58
  5. Step 5: Solve for x
    x = 26,437,071.58/5,158.66
  6. Step 6: Final answer
    x = 5,124.79

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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.