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Finding the Fourth Proportional to 3,488.35, 5,232.99 and 1,147.58

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Solution

The fourth proportional to 3,488.35, 5,232.99 and 1,147.58 is: 1,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.35 : 5,232.99 = 1,147.58 : x
  2. Step 2: Convert to fraction form
    3,488.35/5,232.99 = 1,147.58/x
  3. Step 3: Cross multiply
    3,488.35x = 5,232.99 × 1,147.58
  4. Step 4: Simplify right side
    3,488.35x = 6,005,274.66
  5. Step 5: Solve for x
    x = 6,005,274.66/3,488.35
  6. Step 6: Final answer
    x = 1,721.52

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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.