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Finding the Fourth Proportional to 5,422.32, 7,483.14 and 3,064.86

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Solution

The fourth proportional to 5,422.32, 7,483.14 and 3,064.86 is: 4,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.32 : 7,483.14 = 3,064.86 : x
  2. Step 2: Convert to fraction form
    5,422.32/7,483.14 = 3,064.86/x
  3. Step 3: Cross multiply
    5,422.32x = 7,483.14 × 3,064.86
  4. Step 4: Simplify right side
    5,422.32x = 22,934,776.46
  5. Step 5: Solve for x
    x = 22,934,776.46/5,422.32
  6. Step 6: Final answer
    x = 4,229.70

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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.