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Finding the Fourth Proportional to 3,722.70, 5,587.68 and 1,776.24

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Solution

The fourth proportional to 3,722.70, 5,587.68 and 1,776.24 is: 2,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.70 : 5,587.68 = 1,776.24 : x
  2. Step 2: Convert to fraction form
    3,722.70/5,587.68 = 1,776.24/x
  3. Step 3: Cross multiply
    3,722.70x = 5,587.68 × 1,776.24
  4. Step 4: Simplify right side
    3,722.70x = 9,925,060.72
  5. Step 5: Solve for x
    x = 9,925,060.72/3,722.70
  6. Step 6: Final answer
    x = 2,666.09

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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.