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Finding the Fourth Proportional to 5,264.61, 7,896.15 and 1,566.69

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Solution

The fourth proportional to 5,264.61, 7,896.15 and 1,566.69 is: 2,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.61 : 7,896.15 = 1,566.69 : x
  2. Step 2: Convert to fraction form
    5,264.61/7,896.15 = 1,566.69/x
  3. Step 3: Cross multiply
    5,264.61x = 7,896.15 × 1,566.69
  4. Step 4: Simplify right side
    5,264.61x = 12,370,819.24
  5. Step 5: Solve for x
    x = 12,370,819.24/5,264.61
  6. Step 6: Final answer
    x = 2,349.81

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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.