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Finding the Fourth Proportional to 6,588.96, 9,877.60 and 2,487.84

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Solution

The fourth proportional to 6,588.96, 9,877.60 and 2,487.84 is: 3,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.96 : 9,877.60 = 2,487.84 : x
  2. Step 2: Convert to fraction form
    6,588.96/9,877.60 = 2,487.84/x
  3. Step 3: Cross multiply
    6,588.96x = 9,877.60 × 2,487.84
  4. Step 4: Simplify right side
    6,588.96x = 24,573,888.38
  5. Step 5: Solve for x
    x = 24,573,888.38/6,588.96
  6. Step 6: Final answer
    x = 3,729.55

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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.