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Finding the Fourth Proportional to 5,705.24, 7,909.31 and 5,405.28

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Solution

The fourth proportional to 5,705.24, 7,909.31 and 5,405.28 is: 7,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.24 : 7,909.31 = 5,405.28 : x
  2. Step 2: Convert to fraction form
    5,705.24/7,909.31 = 5,405.28/x
  3. Step 3: Cross multiply
    5,705.24x = 7,909.31 × 5,405.28
  4. Step 4: Simplify right side
    5,705.24x = 42,752,035.16
  5. Step 5: Solve for x
    x = 42,752,035.16/5,705.24
  6. Step 6: Final answer
    x = 7,493.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.