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Finding the Fourth Proportional to 5,877.24, 8,807.70 and 3,408.60

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Solution

The fourth proportional to 5,877.24, 8,807.70 and 3,408.60 is: 5,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.24 : 8,807.70 = 3,408.60 : x
  2. Step 2: Convert to fraction form
    5,877.24/8,807.70 = 3,408.60/x
  3. Step 3: Cross multiply
    5,877.24x = 8,807.70 × 3,408.60
  4. Step 4: Simplify right side
    5,877.24x = 30,021,926.22
  5. Step 5: Solve for x
    x = 30,021,926.22/5,877.24
  6. Step 6: Final answer
    x = 5,108.17

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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.