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Finding the Fourth Proportional to 3,714.48, 5,566.88 and 3,322.16

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Solution

The fourth proportional to 3,714.48, 5,566.88 and 3,322.16 is: 4,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.48 : 5,566.88 = 3,322.16 : x
  2. Step 2: Convert to fraction form
    3,714.48/5,566.88 = 3,322.16/x
  3. Step 3: Cross multiply
    3,714.48x = 5,566.88 × 3,322.16
  4. Step 4: Simplify right side
    3,714.48x = 18,494,066.06
  5. Step 5: Solve for x
    x = 18,494,066.06/3,714.48
  6. Step 6: Final answer
    x = 4,978.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.