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Finding the Fourth Proportional to 5,822.38, 8,737.98 and 4,266.46

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Solution

The fourth proportional to 5,822.38, 8,737.98 and 4,266.46 is: 6,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.38 : 8,737.98 = 4,266.46 : x
  2. Step 2: Convert to fraction form
    5,822.38/8,737.98 = 4,266.46/x
  3. Step 3: Cross multiply
    5,822.38x = 8,737.98 × 4,266.46
  4. Step 4: Simplify right side
    5,822.38x = 37,280,242.15
  5. Step 5: Solve for x
    x = 37,280,242.15/5,822.38
  6. Step 6: Final answer
    x = 6,402.92

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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.