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Finding the Fourth Proportional to 5,442, 7,510.08 and 2,958

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Solution

The fourth proportional to 5,442, 7,510.08 and 2,958 is: 4,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442 : 7,510.08 = 2,958 : x
  2. Step 2: Convert to fraction form
    5,442/7,510.08 = 2,958/x
  3. Step 3: Cross multiply
    5,442x = 7,510.08 × 2,958
  4. Step 4: Simplify right side
    5,442x = 22,214,816.64
  5. Step 5: Solve for x
    x = 22,214,816.64/5,442
  6. Step 6: Final answer
    x = 4,082.11

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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.