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Finding the Fourth Proportional to 3,349.86, 5,023.20 and 1,501

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Solution

The fourth proportional to 3,349.86, 5,023.20 and 1,501 is: 2,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.86 : 5,023.20 = 1,501 : x
  2. Step 2: Convert to fraction form
    3,349.86/5,023.20 = 1,501/x
  3. Step 3: Cross multiply
    3,349.86x = 5,023.20 × 1,501
  4. Step 4: Simplify right side
    3,349.86x = 7,539,823.20
  5. Step 5: Solve for x
    x = 7,539,823.20/3,349.86
  6. Step 6: Final answer
    x = 2,250.79

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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.