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Finding the Fourth Proportional to 3,723.01, 5,580.25 and 1,529.01

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Solution

The fourth proportional to 3,723.01, 5,580.25 and 1,529.01 is: 2,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.01 : 5,580.25 = 1,529.01 : x
  2. Step 2: Convert to fraction form
    3,723.01/5,580.25 = 1,529.01/x
  3. Step 3: Cross multiply
    3,723.01x = 5,580.25 × 1,529.01
  4. Step 4: Simplify right side
    3,723.01x = 8,532,254.23
  5. Step 5: Solve for x
    x = 8,532,254.23/3,723.01
  6. Step 6: Final answer
    x = 2,291.76

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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.