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Finding the Fourth Proportional to 5,245.64, 7,868.45 and 4,319.25

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Solution

The fourth proportional to 5,245.64, 7,868.45 and 4,319.25 is: 6,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.64 : 7,868.45 = 4,319.25 : x
  2. Step 2: Convert to fraction form
    5,245.64/7,868.45 = 4,319.25/x
  3. Step 3: Cross multiply
    5,245.64x = 7,868.45 × 4,319.25
  4. Step 4: Simplify right side
    5,245.64x = 33,985,781.07
  5. Step 5: Solve for x
    x = 33,985,781.07/5,245.64
  6. Step 6: Final answer
    x = 6,478.87

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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.