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Finding the Fourth Proportional to 5,482.56, 8,223.90 and 4,381.74

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Solution

The fourth proportional to 5,482.56, 8,223.90 and 4,381.74 is: 6,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.56 : 8,223.90 = 4,381.74 : x
  2. Step 2: Convert to fraction form
    5,482.56/8,223.90 = 4,381.74/x
  3. Step 3: Cross multiply
    5,482.56x = 8,223.90 × 4,381.74
  4. Step 4: Simplify right side
    5,482.56x = 36,034,991.59
  5. Step 5: Solve for x
    x = 36,034,991.59/5,482.56
  6. Step 6: Final answer
    x = 6,572.66

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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.