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Finding the Fourth Proportional to 4,068.80, 6,101.92 and 1,146.40

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Solution

The fourth proportional to 4,068.80, 6,101.92 and 1,146.40 is: 1,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.80 : 6,101.92 = 1,146.40 : x
  2. Step 2: Convert to fraction form
    4,068.80/6,101.92 = 1,146.40/x
  3. Step 3: Cross multiply
    4,068.80x = 6,101.92 × 1,146.40
  4. Step 4: Simplify right side
    4,068.80x = 6,995,241.09
  5. Step 5: Solve for x
    x = 6,995,241.09/4,068.80
  6. Step 6: Final answer
    x = 1,719.24

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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.