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Finding the Fourth Proportional to 5,599.98, 7,728.16 and 3,082.18

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Solution

The fourth proportional to 5,599.98, 7,728.16 and 3,082.18 is: 4,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.98 : 7,728.16 = 3,082.18 : x
  2. Step 2: Convert to fraction form
    5,599.98/7,728.16 = 3,082.18/x
  3. Step 3: Cross multiply
    5,599.98x = 7,728.16 × 3,082.18
  4. Step 4: Simplify right side
    5,599.98x = 23,819,580.19
  5. Step 5: Solve for x
    x = 23,819,580.19/5,599.98
  6. Step 6: Final answer
    x = 4,253.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.