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Finding the Fourth Proportional to 4,656.57, 6,985.76 and 2,194.17

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Solution

The fourth proportional to 4,656.57, 6,985.76 and 2,194.17 is: 3,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.57 : 6,985.76 = 2,194.17 : x
  2. Step 2: Convert to fraction form
    4,656.57/6,985.76 = 2,194.17/x
  3. Step 3: Cross multiply
    4,656.57x = 6,985.76 × 2,194.17
  4. Step 4: Simplify right side
    4,656.57x = 15,327,934.05
  5. Step 5: Solve for x
    x = 15,327,934.05/4,656.57
  6. Step 6: Final answer
    x = 3,291.68

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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.