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Finding the Fourth Proportional to 3,722.40, 5,585.40 and 2,624.40

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Solution

The fourth proportional to 3,722.40, 5,585.40 and 2,624.40 is: 3,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.40 : 5,585.40 = 2,624.40 : x
  2. Step 2: Convert to fraction form
    3,722.40/5,585.40 = 2,624.40/x
  3. Step 3: Cross multiply
    3,722.40x = 5,585.40 × 2,624.40
  4. Step 4: Simplify right side
    3,722.40x = 14,658,323.76
  5. Step 5: Solve for x
    x = 14,658,323.76/3,722.40
  6. Step 6: Final answer
    x = 3,937.87

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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.