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Finding the Fourth Proportional to 3,223.35, 4,835.53 and 1,374.47

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Solution

The fourth proportional to 3,223.35, 4,835.53 and 1,374.47 is: 2,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.35 : 4,835.53 = 1,374.47 : x
  2. Step 2: Convert to fraction form
    3,223.35/4,835.53 = 1,374.47/x
  3. Step 3: Cross multiply
    3,223.35x = 4,835.53 × 1,374.47
  4. Step 4: Simplify right side
    3,223.35x = 6,646,278.86
  5. Step 5: Solve for x
    x = 6,646,278.86/3,223.35
  6. Step 6: Final answer
    x = 2,061.92

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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.