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Finding the Fourth Proportional to 3,347.64, 5,020.86 and 1,498.41

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Solution

The fourth proportional to 3,347.64, 5,020.86 and 1,498.41 is: 2,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.64 : 5,020.86 = 1,498.41 : x
  2. Step 2: Convert to fraction form
    3,347.64/5,020.86 = 1,498.41/x
  3. Step 3: Cross multiply
    3,347.64x = 5,020.86 × 1,498.41
  4. Step 4: Simplify right side
    3,347.64x = 7,523,306.83
  5. Step 5: Solve for x
    x = 7,523,306.83/3,347.64
  6. Step 6: Final answer
    x = 2,247.35

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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.