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Finding the Fourth Proportional to 5,744.58, 8,609.52 and 5,001.16

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Solution

The fourth proportional to 5,744.58, 8,609.52 and 5,001.16 is: 7,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.58 : 8,609.52 = 5,001.16 : x
  2. Step 2: Convert to fraction form
    5,744.58/8,609.52 = 5,001.16/x
  3. Step 3: Cross multiply
    5,744.58x = 8,609.52 × 5,001.16
  4. Step 4: Simplify right side
    5,744.58x = 43,057,587.04
  5. Step 5: Solve for x
    x = 43,057,587.04/5,744.58
  6. Step 6: Final answer
    x = 7,495.34

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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.