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Finding the Fourth Proportional to 4,160.65, 5,742.66 and 2,393.28

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Solution

The fourth proportional to 4,160.65, 5,742.66 and 2,393.28 is: 3,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.65 : 5,742.66 = 2,393.28 : x
  2. Step 2: Convert to fraction form
    4,160.65/5,742.66 = 2,393.28/x
  3. Step 3: Cross multiply
    4,160.65x = 5,742.66 × 2,393.28
  4. Step 4: Simplify right side
    4,160.65x = 13,743,793.32
  5. Step 5: Solve for x
    x = 13,743,793.32/4,160.65
  6. Step 6: Final answer
    x = 3,303.28

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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.