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Finding the Fourth Proportional to 5,442.57, 7,510.73 and 2,958.57

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Solution

The fourth proportional to 5,442.57, 7,510.73 and 2,958.57 is: 4,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.57 : 7,510.73 = 2,958.57 : x
  2. Step 2: Convert to fraction form
    5,442.57/7,510.73 = 2,958.57/x
  3. Step 3: Cross multiply
    5,442.57x = 7,510.73 × 2,958.57
  4. Step 4: Simplify right side
    5,442.57x = 22,221,020.46
  5. Step 5: Solve for x
    x = 22,221,020.46/5,442.57
  6. Step 6: Final answer
    x = 4,082.82

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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.