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Finding the Fourth Proportional to 5,574.64, 8,374.92 and 3,267.76

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Solution

The fourth proportional to 5,574.64, 8,374.92 and 3,267.76 is: 4,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.64 : 8,374.92 = 3,267.76 : x
  2. Step 2: Convert to fraction form
    5,574.64/8,374.92 = 3,267.76/x
  3. Step 3: Cross multiply
    5,574.64x = 8,374.92 × 3,267.76
  4. Step 4: Simplify right side
    5,574.64x = 27,367,228.58
  5. Step 5: Solve for x
    x = 27,367,228.58/5,574.64
  6. Step 6: Final answer
    x = 4,909.24

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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.