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Finding the Fourth Proportional to 4,570, 6,306.48 and 2,580.76

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Solution

The fourth proportional to 4,570, 6,306.48 and 2,580.76 is: 3,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 6,306.48 = 2,580.76 : x
  2. Step 2: Convert to fraction form
    4,570/6,306.48 = 2,580.76/x
  3. Step 3: Cross multiply
    4,570x = 6,306.48 × 2,580.76
  4. Step 4: Simplify right side
    4,570x = 16,275,511.32
  5. Step 5: Solve for x
    x = 16,275,511.32/4,570
  6. Step 6: Final answer
    x = 3,561.38

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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.