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Finding the Fourth Proportional to 5,765.85, 7,957.64 and 3,248.46

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Solution

The fourth proportional to 5,765.85, 7,957.64 and 3,248.46 is: 4,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.85 : 7,957.64 = 3,248.46 : x
  2. Step 2: Convert to fraction form
    5,765.85/7,957.64 = 3,248.46/x
  3. Step 3: Cross multiply
    5,765.85x = 7,957.64 × 3,248.46
  4. Step 4: Simplify right side
    5,765.85x = 25,850,105.74
  5. Step 5: Solve for x
    x = 25,850,105.74/5,765.85
  6. Step 6: Final answer
    x = 4,483.31

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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.