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Finding the Fourth Proportional to 3,722.68, 5,585 and 1,501.72

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Solution

The fourth proportional to 3,722.68, 5,585 and 1,501.72 is: 2,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.68 : 5,585 = 1,501.72 : x
  2. Step 2: Convert to fraction form
    3,722.68/5,585 = 1,501.72/x
  3. Step 3: Cross multiply
    3,722.68x = 5,585 × 1,501.72
  4. Step 4: Simplify right side
    3,722.68x = 8,387,106.20
  5. Step 5: Solve for x
    x = 8,387,106.20/3,722.68
  6. Step 6: Final answer
    x = 2,252.98

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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.