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Finding the Fourth Proportional to 4,160.97, 5,742.90 and 2,393.65

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Solution

The fourth proportional to 4,160.97, 5,742.90 and 2,393.65 is: 3,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.97 : 5,742.90 = 2,393.65 : x
  2. Step 2: Convert to fraction form
    4,160.97/5,742.90 = 2,393.65/x
  3. Step 3: Cross multiply
    4,160.97x = 5,742.90 × 2,393.65
  4. Step 4: Simplify right side
    4,160.97x = 13,746,499.76
  5. Step 5: Solve for x
    x = 13,746,499.76/4,160.97
  6. Step 6: Final answer
    x = 3,303.68

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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.