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Finding the Fourth Proportional to 5,442.50, 7,510.77 and 2,958.50

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Solution

The fourth proportional to 5,442.50, 7,510.77 and 2,958.50 is: 4,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.50 : 7,510.77 = 2,958.50 : x
  2. Step 2: Convert to fraction form
    5,442.50/7,510.77 = 2,958.50/x
  3. Step 3: Cross multiply
    5,442.50x = 7,510.77 × 2,958.50
  4. Step 4: Simplify right side
    5,442.50x = 22,220,613.05
  5. Step 5: Solve for x
    x = 22,220,613.05/5,442.50
  6. Step 6: Final answer
    x = 4,082.80

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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.