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Finding the Fourth Proportional to 3,714.17, 5,565.98 and 3,274.47

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Solution

The fourth proportional to 3,714.17, 5,565.98 and 3,274.47 is: 4,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.17 : 5,565.98 = 3,274.47 : x
  2. Step 2: Convert to fraction form
    3,714.17/5,565.98 = 3,274.47/x
  3. Step 3: Cross multiply
    3,714.17x = 5,565.98 × 3,274.47
  4. Step 4: Simplify right side
    3,714.17x = 18,225,642.72
  5. Step 5: Solve for x
    x = 18,225,642.72/3,714.17
  6. Step 6: Final answer
    x = 4,907.06

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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.