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Finding the Fourth Proportional to 3,748.71, 5,620.03 and 1,559.08

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Solution

The fourth proportional to 3,748.71, 5,620.03 and 1,559.08 is: 2,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.71 : 5,620.03 = 1,559.08 : x
  2. Step 2: Convert to fraction form
    3,748.71/5,620.03 = 1,559.08/x
  3. Step 3: Cross multiply
    3,748.71x = 5,620.03 × 1,559.08
  4. Step 4: Simplify right side
    3,748.71x = 8,762,088.27
  5. Step 5: Solve for x
    x = 8,762,088.27/3,748.71
  6. Step 6: Final answer
    x = 2,337.36

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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.