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Finding the Fourth Proportional to 5,628.32, 8,442.48 and 1,524.64

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Solution

The fourth proportional to 5,628.32, 8,442.48 and 1,524.64 is: 2,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.32 : 8,442.48 = 1,524.64 : x
  2. Step 2: Convert to fraction form
    5,628.32/8,442.48 = 1,524.64/x
  3. Step 3: Cross multiply
    5,628.32x = 8,442.48 × 1,524.64
  4. Step 4: Simplify right side
    5,628.32x = 12,871,742.71
  5. Step 5: Solve for x
    x = 12,871,742.71/5,628.32
  6. Step 6: Final answer
    x = 2,286.96

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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.