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Finding the Fourth Proportional to 4,144.95, 6,217.49 and 2,307.74

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Solution

The fourth proportional to 4,144.95, 6,217.49 and 2,307.74 is: 3,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.95 : 6,217.49 = 2,307.74 : x
  2. Step 2: Convert to fraction form
    4,144.95/6,217.49 = 2,307.74/x
  3. Step 3: Cross multiply
    4,144.95x = 6,217.49 × 2,307.74
  4. Step 4: Simplify right side
    4,144.95x = 14,348,338.83
  5. Step 5: Solve for x
    x = 14,348,338.83/4,144.95
  6. Step 6: Final answer
    x = 3,461.65

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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.