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Finding the Fourth Proportional to 4,665.96, 6,964.80 and 4,112.40

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Solution

The fourth proportional to 4,665.96, 6,964.80 and 4,112.40 is: 6,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.96 : 6,964.80 = 4,112.40 : x
  2. Step 2: Convert to fraction form
    4,665.96/6,964.80 = 4,112.40/x
  3. Step 3: Cross multiply
    4,665.96x = 6,964.80 × 4,112.40
  4. Step 4: Simplify right side
    4,665.96x = 28,642,043.52
  5. Step 5: Solve for x
    x = 28,642,043.52/4,665.96
  6. Step 6: Final answer
    x = 6,138.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.