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Finding the Fourth Proportional to 2,959.60, 4,434.16 and 2,637.84

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Solution

The fourth proportional to 2,959.60, 4,434.16 and 2,637.84 is: 3,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.60 : 4,434.16 = 2,637.84 : x
  2. Step 2: Convert to fraction form
    2,959.60/4,434.16 = 2,637.84/x
  3. Step 3: Cross multiply
    2,959.60x = 4,434.16 × 2,637.84
  4. Step 4: Simplify right side
    2,959.60x = 11,696,604.61
  5. Step 5: Solve for x
    x = 11,696,604.61/2,959.60
  6. Step 6: Final answer
    x = 3,952.09

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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.