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Finding the Fourth Proportional to 3,292.06, 4,543.95 and 1,966.66

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Solution

The fourth proportional to 3,292.06, 4,543.95 and 1,966.66 is: 2,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.06 : 4,543.95 = 1,966.66 : x
  2. Step 2: Convert to fraction form
    3,292.06/4,543.95 = 1,966.66/x
  3. Step 3: Cross multiply
    3,292.06x = 4,543.95 × 1,966.66
  4. Step 4: Simplify right side
    3,292.06x = 8,936,404.71
  5. Step 5: Solve for x
    x = 8,936,404.71/3,292.06
  6. Step 6: Final answer
    x = 2,714.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.