Home / 5,034-7,543.70-2,838.06

Finding the Fourth Proportional to 5,034, 7,543.70 and 2,838.06

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Solution

The fourth proportional to 5,034, 7,543.70 and 2,838.06 is: 4,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034 : 7,543.70 = 2,838.06 : x
  2. Step 2: Convert to fraction form
    5,034/7,543.70 = 2,838.06/x
  3. Step 3: Cross multiply
    5,034x = 7,543.70 × 2,838.06
  4. Step 4: Simplify right side
    5,034x = 21,409,473.22
  5. Step 5: Solve for x
    x = 21,409,473.22/5,034
  6. Step 6: Final answer
    x = 4,252.97

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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.