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Finding the Fourth Proportional to 4,312.40, 5,959.18 and 3,674

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Solution

The fourth proportional to 4,312.40, 5,959.18 and 3,674 is: 5,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.40 : 5,959.18 = 3,674 : x
  2. Step 2: Convert to fraction form
    4,312.40/5,959.18 = 3,674/x
  3. Step 3: Cross multiply
    4,312.40x = 5,959.18 × 3,674
  4. Step 4: Simplify right side
    4,312.40x = 21,894,027.32
  5. Step 5: Solve for x
    x = 21,894,027.32/4,312.40
  6. Step 6: Final answer
    x = 5,076.99

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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.