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Finding the Fourth Proportional to 3,981.60, 6,002.21 and 3,714.00

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Solution

The fourth proportional to 3,981.60, 6,002.21 and 3,714.00 is: 5,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.60 : 6,002.21 = 3,714.00 : x
  2. Step 2: Convert to fraction form
    3,981.60/6,002.21 = 3,714.00/x
  3. Step 3: Cross multiply
    3,981.60x = 6,002.21 × 3,714.00
  4. Step 4: Simplify right side
    3,981.60x = 22,292,194.72
  5. Step 5: Solve for x
    x = 22,292,194.72/3,981.60
  6. Step 6: Final answer
    x = 5,598.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.