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Finding the Fourth Proportional to 5,358.47, 8,037.93 and 1,462.88

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Solution

The fourth proportional to 5,358.47, 8,037.93 and 1,462.88 is: 2,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.47 : 8,037.93 = 1,462.88 : x
  2. Step 2: Convert to fraction form
    5,358.47/8,037.93 = 1,462.88/x
  3. Step 3: Cross multiply
    5,358.47x = 8,037.93 × 1,462.88
  4. Step 4: Simplify right side
    5,358.47x = 11,758,527.04
  5. Step 5: Solve for x
    x = 11,758,527.04/5,358.47
  6. Step 6: Final answer
    x = 2,194.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.