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Finding the Fourth Proportional to 3,348.57, 5,022.86 and 1,398.50

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Solution

The fourth proportional to 3,348.57, 5,022.86 and 1,398.50 is: 2,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.57 : 5,022.86 = 1,398.50 : x
  2. Step 2: Convert to fraction form
    3,348.57/5,022.86 = 1,398.50/x
  3. Step 3: Cross multiply
    3,348.57x = 5,022.86 × 1,398.50
  4. Step 4: Simplify right side
    3,348.57x = 7,024,437.60
  5. Step 5: Solve for x
    x = 7,024,437.60/3,348.57
  6. Step 6: Final answer
    x = 2,097.74

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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.