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Finding the Fourth Proportional to 5,723.52, 8,574.72 and 3,773.76

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Solution

The fourth proportional to 5,723.52, 8,574.72 and 3,773.76 is: 5,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.52 : 8,574.72 = 3,773.76 : x
  2. Step 2: Convert to fraction form
    5,723.52/8,574.72 = 3,773.76/x
  3. Step 3: Cross multiply
    5,723.52x = 8,574.72 × 3,773.76
  4. Step 4: Simplify right side
    5,723.52x = 32,358,935.35
  5. Step 5: Solve for x
    x = 32,358,935.35/5,723.52
  6. Step 6: Final answer
    x = 5,653.68

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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.