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Finding the Fourth Proportional to 3,349.64, 5,024.82 and 1,374.86

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Solution

The fourth proportional to 3,349.64, 5,024.82 and 1,374.86 is: 2,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.64 : 5,024.82 = 1,374.86 : x
  2. Step 2: Convert to fraction form
    3,349.64/5,024.82 = 1,374.86/x
  3. Step 3: Cross multiply
    3,349.64x = 5,024.82 × 1,374.86
  4. Step 4: Simplify right side
    3,349.64x = 6,908,424.03
  5. Step 5: Solve for x
    x = 6,908,424.03/3,349.64
  6. Step 6: Final answer
    x = 2,062.44

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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.