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Finding the Fourth Proportional to 4,098, 5,655.40 and 2,329.92

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Solution

The fourth proportional to 4,098, 5,655.40 and 2,329.92 is: 3,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 5,655.40 = 2,329.92 : x
  2. Step 2: Convert to fraction form
    4,098/5,655.40 = 2,329.92/x
  3. Step 3: Cross multiply
    4,098x = 5,655.40 × 2,329.92
  4. Step 4: Simplify right side
    4,098x = 13,176,629.57
  5. Step 5: Solve for x
    x = 13,176,629.57/4,098
  6. Step 6: Final answer
    x = 3,215.38

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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.