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Finding the Fourth Proportional to 4,507.45, 6,220.47 and 2,518

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Solution

The fourth proportional to 4,507.45, 6,220.47 and 2,518 is: 3,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.45 : 6,220.47 = 2,518 : x
  2. Step 2: Convert to fraction form
    4,507.45/6,220.47 = 2,518/x
  3. Step 3: Cross multiply
    4,507.45x = 6,220.47 × 2,518
  4. Step 4: Simplify right side
    4,507.45x = 15,663,143.46
  5. Step 5: Solve for x
    x = 15,663,143.46/4,507.45
  6. Step 6: Final answer
    x = 3,474.95

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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.