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Finding the Fourth Proportional to 5,765.76, 7,948.80 and 4,348.80

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Solution

The fourth proportional to 5,765.76, 7,948.80 and 4,348.80 is: 5,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.76 : 7,948.80 = 4,348.80 : x
  2. Step 2: Convert to fraction form
    5,765.76/7,948.80 = 4,348.80/x
  3. Step 3: Cross multiply
    5,765.76x = 7,948.80 × 4,348.80
  4. Step 4: Simplify right side
    5,765.76x = 34,567,741.44
  5. Step 5: Solve for x
    x = 34,567,741.44/5,765.76
  6. Step 6: Final answer
    x = 5,995.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.