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Finding the Fourth Proportional to 3,988.95, 5,984.70 and 1,216.16

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Solution

The fourth proportional to 3,988.95, 5,984.70 and 1,216.16 is: 1,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.95 : 5,984.70 = 1,216.16 : x
  2. Step 2: Convert to fraction form
    3,988.95/5,984.70 = 1,216.16/x
  3. Step 3: Cross multiply
    3,988.95x = 5,984.70 × 1,216.16
  4. Step 4: Simplify right side
    3,988.95x = 7,278,322.83
  5. Step 5: Solve for x
    x = 7,278,322.83/3,988.95
  6. Step 6: Final answer
    x = 1,824.62

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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.