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Finding the Fourth Proportional to 4,642.16, 6,965.54 and 2,177.17

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Solution

The fourth proportional to 4,642.16, 6,965.54 and 2,177.17 is: 3,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.16 : 6,965.54 = 2,177.17 : x
  2. Step 2: Convert to fraction form
    4,642.16/6,965.54 = 2,177.17/x
  3. Step 3: Cross multiply
    4,642.16x = 6,965.54 × 2,177.17
  4. Step 4: Simplify right side
    4,642.16x = 15,165,187.58
  5. Step 5: Solve for x
    x = 15,165,187.58/4,642.16
  6. Step 6: Final answer
    x = 3,266.84

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