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Finding the Fourth Proportional to 4,570, 6,306.60 and 2,474.14

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Solution

The fourth proportional to 4,570, 6,306.60 and 2,474.14 is: 3,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 6,306.60 = 2,474.14 : x
  2. Step 2: Convert to fraction form
    4,570/6,306.60 = 2,474.14/x
  3. Step 3: Cross multiply
    4,570x = 6,306.60 × 2,474.14
  4. Step 4: Simplify right side
    4,570x = 15,603,411.32
  5. Step 5: Solve for x
    x = 15,603,411.32/4,570
  6. Step 6: Final answer
    x = 3,414.31

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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.