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Finding the Fourth Proportional to 3,753.85, 5,624.70 and 2,364.70

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Solution

The fourth proportional to 3,753.85, 5,624.70 and 2,364.70 is: 3,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.85 : 5,624.70 = 2,364.70 : x
  2. Step 2: Convert to fraction form
    3,753.85/5,624.70 = 2,364.70/x
  3. Step 3: Cross multiply
    3,753.85x = 5,624.70 × 2,364.70
  4. Step 4: Simplify right side
    3,753.85x = 13,300,728.09
  5. Step 5: Solve for x
    x = 13,300,728.09/3,753.85
  6. Step 6: Final answer
    x = 3,543.22

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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.