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Finding the Fourth Proportional to 5,877.44, 8,113.92 and 4,548.16

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Solution

The fourth proportional to 5,877.44, 8,113.92 and 4,548.16 is: 6,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.44 : 8,113.92 = 4,548.16 : x
  2. Step 2: Convert to fraction form
    5,877.44/8,113.92 = 4,548.16/x
  3. Step 3: Cross multiply
    5,877.44x = 8,113.92 × 4,548.16
  4. Step 4: Simplify right side
    5,877.44x = 36,903,406.39
  5. Step 5: Solve for x
    x = 36,903,406.39/5,877.44
  6. Step 6: Final answer
    x = 6,278.82

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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.