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Finding the Fourth Proportional to 5,931.52, 8,180.54 and 4,443

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Solution

The fourth proportional to 5,931.52, 8,180.54 and 4,443 is: 6,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.52 : 8,180.54 = 4,443 : x
  2. Step 2: Convert to fraction form
    5,931.52/8,180.54 = 4,443/x
  3. Step 3: Cross multiply
    5,931.52x = 8,180.54 × 4,443
  4. Step 4: Simplify right side
    5,931.52x = 36,346,139.22
  5. Step 5: Solve for x
    x = 36,346,139.22/5,931.52
  6. Step 6: Final answer
    x = 6,127.63

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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.