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Finding the Fourth Proportional to 4,347.68, 6,512.88 and 2,804

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Solution

The fourth proportional to 4,347.68, 6,512.88 and 2,804 is: 4,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.68 : 6,512.88 = 2,804 : x
  2. Step 2: Convert to fraction form
    4,347.68/6,512.88 = 2,804/x
  3. Step 3: Cross multiply
    4,347.68x = 6,512.88 × 2,804
  4. Step 4: Simplify right side
    4,347.68x = 18,262,115.52
  5. Step 5: Solve for x
    x = 18,262,115.52/4,347.68
  6. Step 6: Final answer
    x = 4,200.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.