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Finding the Fourth Proportional to 5,493.68, 7,574.88 and 4,002.27

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Solution

The fourth proportional to 5,493.68, 7,574.88 and 4,002.27 is: 5,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.68 : 7,574.88 = 4,002.27 : x
  2. Step 2: Convert to fraction form
    5,493.68/7,574.88 = 4,002.27/x
  3. Step 3: Cross multiply
    5,493.68x = 7,574.88 × 4,002.27
  4. Step 4: Simplify right side
    5,493.68x = 30,316,714.98
  5. Step 5: Solve for x
    x = 30,316,714.98/5,493.68
  6. Step 6: Final answer
    x = 5,518.47

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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.