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Finding the Fourth Proportional to 4,139.16, 6,209.12 and 1,365.84

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Solution

The fourth proportional to 4,139.16, 6,209.12 and 1,365.84 is: 2,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.16 : 6,209.12 = 1,365.84 : x
  2. Step 2: Convert to fraction form
    4,139.16/6,209.12 = 1,365.84/x
  3. Step 3: Cross multiply
    4,139.16x = 6,209.12 × 1,365.84
  4. Step 4: Simplify right side
    4,139.16x = 8,480,657.63
  5. Step 5: Solve for x
    x = 8,480,657.63/4,139.16
  6. Step 6: Final answer
    x = 2,048.88

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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.