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Finding the Fourth Proportional to 5,877.40, 8,816.10 and 4,579.84

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Solution

The fourth proportional to 5,877.40, 8,816.10 and 4,579.84 is: 6,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.40 : 8,816.10 = 4,579.84 : x
  2. Step 2: Convert to fraction form
    5,877.40/8,816.10 = 4,579.84/x
  3. Step 3: Cross multiply
    5,877.40x = 8,816.10 × 4,579.84
  4. Step 4: Simplify right side
    5,877.40x = 40,376,327.42
  5. Step 5: Solve for x
    x = 40,376,327.42/5,877.40
  6. Step 6: Final answer
    x = 6,869.76

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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.