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Finding the Fourth Proportional to 3,720.94, 5,582.45 and 1,500.46

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Solution

The fourth proportional to 3,720.94, 5,582.45 and 1,500.46 is: 2,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.94 : 5,582.45 = 1,500.46 : x
  2. Step 2: Convert to fraction form
    3,720.94/5,582.45 = 1,500.46/x
  3. Step 3: Cross multiply
    3,720.94x = 5,582.45 × 1,500.46
  4. Step 4: Simplify right side
    3,720.94x = 8,376,232.72
  5. Step 5: Solve for x
    x = 8,376,232.72/3,720.94
  6. Step 6: Final answer
    x = 2,251.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.