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Finding the Fourth Proportional to 5,506.74, 7,597.44 and 3,147.20

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Solution

The fourth proportional to 5,506.74, 7,597.44 and 3,147.20 is: 4,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.74 : 7,597.44 = 3,147.20 : x
  2. Step 2: Convert to fraction form
    5,506.74/7,597.44 = 3,147.20/x
  3. Step 3: Cross multiply
    5,506.74x = 7,597.44 × 3,147.20
  4. Step 4: Simplify right side
    5,506.74x = 23,910,663.17
  5. Step 5: Solve for x
    x = 23,910,663.17/5,506.74
  6. Step 6: Final answer
    x = 4,342.07

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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.