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Finding the Fourth Proportional to 4,146.66, 5,722.65 and 2,283.66

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Solution

The fourth proportional to 4,146.66, 5,722.65 and 2,283.66 is: 3,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.66 : 5,722.65 = 2,283.66 : x
  2. Step 2: Convert to fraction form
    4,146.66/5,722.65 = 2,283.66/x
  3. Step 3: Cross multiply
    4,146.66x = 5,722.65 × 2,283.66
  4. Step 4: Simplify right side
    4,146.66x = 13,068,586.90
  5. Step 5: Solve for x
    x = 13,068,586.90/4,146.66
  6. Step 6: Final answer
    x = 3,151.59

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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.