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Finding the Fourth Proportional to 5,264.49, 7,896.74 and 1,566.77

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Solution

The fourth proportional to 5,264.49, 7,896.74 and 1,566.77 is: 2,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.49 : 7,896.74 = 1,566.77 : x
  2. Step 2: Convert to fraction form
    5,264.49/7,896.74 = 1,566.77/x
  3. Step 3: Cross multiply
    5,264.49x = 7,896.74 × 1,566.77
  4. Step 4: Simplify right side
    5,264.49x = 12,372,387.24
  5. Step 5: Solve for x
    x = 12,372,387.24/5,264.49
  6. Step 6: Final answer
    x = 2,350.16

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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.