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Finding the Fourth Proportional to 5,758.82, 7,948.48 and 4,078.46

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Solution

The fourth proportional to 5,758.82, 7,948.48 and 4,078.46 is: 5,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.82 : 7,948.48 = 4,078.46 : x
  2. Step 2: Convert to fraction form
    5,758.82/7,948.48 = 4,078.46/x
  3. Step 3: Cross multiply
    5,758.82x = 7,948.48 × 4,078.46
  4. Step 4: Simplify right side
    5,758.82x = 32,417,557.74
  5. Step 5: Solve for x
    x = 32,417,557.74/5,758.82
  6. Step 6: Final answer
    x = 5,629.20

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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.