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Finding the Fourth Proportional to 4,306.67, 5,941.71 and 2,417.99

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Solution

The fourth proportional to 4,306.67, 5,941.71 and 2,417.99 is: 3,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.67 : 5,941.71 = 2,417.99 : x
  2. Step 2: Convert to fraction form
    4,306.67/5,941.71 = 2,417.99/x
  3. Step 3: Cross multiply
    4,306.67x = 5,941.71 × 2,417.99
  4. Step 4: Simplify right side
    4,306.67x = 14,366,965.65
  5. Step 5: Solve for x
    x = 14,366,965.65/4,306.67
  6. Step 6: Final answer
    x = 3,335.98

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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.