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Finding the Fourth Proportional to 5,758.92, 7,948.07 and 4,271.08

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Solution

The fourth proportional to 5,758.92, 7,948.07 and 4,271.08 is: 5,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.92 : 7,948.07 = 4,271.08 : x
  2. Step 2: Convert to fraction form
    5,758.92/7,948.07 = 4,271.08/x
  3. Step 3: Cross multiply
    5,758.92x = 7,948.07 × 4,271.08
  4. Step 4: Simplify right side
    5,758.92x = 33,946,842.82
  5. Step 5: Solve for x
    x = 33,946,842.82/5,758.92
  6. Step 6: Final answer
    x = 5,894.65

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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.