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Finding the Fourth Proportional to 4,271.67, 6,407.71 and 2,077.79

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Solution

The fourth proportional to 4,271.67, 6,407.71 and 2,077.79 is: 3,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.67 : 6,407.71 = 2,077.79 : x
  2. Step 2: Convert to fraction form
    4,271.67/6,407.71 = 2,077.79/x
  3. Step 3: Cross multiply
    4,271.67x = 6,407.71 × 2,077.79
  4. Step 4: Simplify right side
    4,271.67x = 13,313,875.76
  5. Step 5: Solve for x
    x = 13,313,875.76/4,271.67
  6. Step 6: Final answer
    x = 3,116.78

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