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Finding the Fourth Proportional to 5,301.25, 7,951.88 and 1,653.25

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Solution

The fourth proportional to 5,301.25, 7,951.88 and 1,653.25 is: 2,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.25 : 7,951.88 = 1,653.25 : x
  2. Step 2: Convert to fraction form
    5,301.25/7,951.88 = 1,653.25/x
  3. Step 3: Cross multiply
    5,301.25x = 7,951.88 × 1,653.25
  4. Step 4: Simplify right side
    5,301.25x = 13,146,445.61
  5. Step 5: Solve for x
    x = 13,146,445.61/5,301.25
  6. Step 6: Final answer
    x = 2,479.88

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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.