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Finding the Fourth Proportional to 5,705.28, 7,872.96 and 3,347.24

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Solution

The fourth proportional to 5,705.28, 7,872.96 and 3,347.24 is: 4,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.28 : 7,872.96 = 3,347.24 : x
  2. Step 2: Convert to fraction form
    5,705.28/7,872.96 = 3,347.24/x
  3. Step 3: Cross multiply
    5,705.28x = 7,872.96 × 3,347.24
  4. Step 4: Simplify right side
    5,705.28x = 26,352,686.63
  5. Step 5: Solve for x
    x = 26,352,686.63/5,705.28
  6. Step 6: Final answer
    x = 4,619.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.