Home / 5,209.43-7,812.75-1,460.98

Finding the Fourth Proportional to 5,209.43, 7,812.75 and 1,460.98

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Solution

The fourth proportional to 5,209.43, 7,812.75 and 1,460.98 is: 2,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.43 : 7,812.75 = 1,460.98 : x
  2. Step 2: Convert to fraction form
    5,209.43/7,812.75 = 1,460.98/x
  3. Step 3: Cross multiply
    5,209.43x = 7,812.75 × 1,460.98
  4. Step 4: Simplify right side
    5,209.43x = 11,414,275.78
  5. Step 5: Solve for x
    x = 11,414,275.78/5,209.43
  6. Step 6: Final answer
    x = 2,191.08

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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.