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Finding the Fourth Proportional to 5,948.92, 8,209.44 and 3,710.64

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Solution

The fourth proportional to 5,948.92, 8,209.44 and 3,710.64 is: 5,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.92 : 8,209.44 = 3,710.64 : x
  2. Step 2: Convert to fraction form
    5,948.92/8,209.44 = 3,710.64/x
  3. Step 3: Cross multiply
    5,948.92x = 8,209.44 × 3,710.64
  4. Step 4: Simplify right side
    5,948.92x = 30,462,276.44
  5. Step 5: Solve for x
    x = 30,462,276.44/5,948.92
  6. Step 6: Final answer
    x = 5,120.64

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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.