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Finding the Fourth Proportional to 3,642, 5,026.77 and 2,315.45

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Solution

The fourth proportional to 3,642, 5,026.77 and 2,315.45 is: 3,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,026.77 = 2,315.45 : x
  2. Step 2: Convert to fraction form
    3,642/5,026.77 = 2,315.45/x
  3. Step 3: Cross multiply
    3,642x = 5,026.77 × 2,315.45
  4. Step 4: Simplify right side
    3,642x = 11,639,209.46
  5. Step 5: Solve for x
    x = 11,639,209.46/3,642
  6. Step 6: Final answer
    x = 3,195.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.