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Finding the Fourth Proportional to 5,601.64, 8,407.65 and 2,830.27

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Solution

The fourth proportional to 5,601.64, 8,407.65 and 2,830.27 is: 4,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.64 : 8,407.65 = 2,830.27 : x
  2. Step 2: Convert to fraction form
    5,601.64/8,407.65 = 2,830.27/x
  3. Step 3: Cross multiply
    5,601.64x = 8,407.65 × 2,830.27
  4. Step 4: Simplify right side
    5,601.64x = 23,795,877.53
  5. Step 5: Solve for x
    x = 23,795,877.53/5,601.64
  6. Step 6: Final answer
    x = 4,248.02

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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.