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Finding the Fourth Proportional to 5,877.68, 8,808.24 and 4,639.64

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Solution

The fourth proportional to 5,877.68, 8,808.24 and 4,639.64 is: 6,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.68 : 8,808.24 = 4,639.64 : x
  2. Step 2: Convert to fraction form
    5,877.68/8,808.24 = 4,639.64/x
  3. Step 3: Cross multiply
    5,877.68x = 8,808.24 × 4,639.64
  4. Step 4: Simplify right side
    5,877.68x = 40,867,062.63
  5. Step 5: Solve for x
    x = 40,867,062.63/5,877.68
  6. Step 6: Final answer
    x = 6,952.92

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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.