Home / 5,164.65-7,742.40-2,043

Finding the Fourth Proportional to 5,164.65, 7,742.40 and 2,043

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Solution

The fourth proportional to 5,164.65, 7,742.40 and 2,043 is: 3,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.65 : 7,742.40 = 2,043 : x
  2. Step 2: Convert to fraction form
    5,164.65/7,742.40 = 2,043/x
  3. Step 3: Cross multiply
    5,164.65x = 7,742.40 × 2,043
  4. Step 4: Simplify right side
    5,164.65x = 15,817,723.20
  5. Step 5: Solve for x
    x = 15,817,723.20/5,164.65
  6. Step 6: Final answer
    x = 3,062.69

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Why These Related Problems?

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