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Finding the Fourth Proportional to 3,642.66, 5,026.88 and 2,382.93

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Solution

The fourth proportional to 3,642.66, 5,026.88 and 2,382.93 is: 3,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.66 : 5,026.88 = 2,382.93 : x
  2. Step 2: Convert to fraction form
    3,642.66/5,026.88 = 2,382.93/x
  3. Step 3: Cross multiply
    3,642.66x = 5,026.88 × 2,382.93
  4. Step 4: Simplify right side
    3,642.66x = 11,978,691.24
  5. Step 5: Solve for x
    x = 11,978,691.24/3,642.66
  6. Step 6: Final answer
    x = 3,288.45

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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.