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Finding the Fourth Proportional to 3,498.66, 5,248.72 and 1,854.76

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Solution

The fourth proportional to 3,498.66, 5,248.72 and 1,854.76 is: 2,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.66 : 5,248.72 = 1,854.76 : x
  2. Step 2: Convert to fraction form
    3,498.66/5,248.72 = 1,854.76/x
  3. Step 3: Cross multiply
    3,498.66x = 5,248.72 × 1,854.76
  4. Step 4: Simplify right side
    3,498.66x = 9,735,115.91
  5. Step 5: Solve for x
    x = 9,735,115.91/3,498.66
  6. Step 6: Final answer
    x = 2,782.53

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1.5x scale

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.