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Finding the Fourth Proportional to 4,686.52, 7,031.82 and 2,223.08

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Solution

The fourth proportional to 4,686.52, 7,031.82 and 2,223.08 is: 3,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.52 : 7,031.82 = 2,223.08 : x
  2. Step 2: Convert to fraction form
    4,686.52/7,031.82 = 2,223.08/x
  3. Step 3: Cross multiply
    4,686.52x = 7,031.82 × 2,223.08
  4. Step 4: Simplify right side
    4,686.52x = 15,632,298.41
  5. Step 5: Solve for x
    x = 15,632,298.41/4,686.52
  6. Step 6: Final answer
    x = 3,335.59

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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.