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Finding the Fourth Proportional to 3,116.16, 4,672.08 and 1,471.68

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Solution

The fourth proportional to 3,116.16, 4,672.08 and 1,471.68 is: 2,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.16 : 4,672.08 = 1,471.68 : x
  2. Step 2: Convert to fraction form
    3,116.16/4,672.08 = 1,471.68/x
  3. Step 3: Cross multiply
    3,116.16x = 4,672.08 × 1,471.68
  4. Step 4: Simplify right side
    3,116.16x = 6,875,806.69
  5. Step 5: Solve for x
    x = 6,875,806.69/3,116.16
  6. Step 6: Final answer
    x = 2,206.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.