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Finding the Fourth Proportional to 5,410.09, 8,111.89 and 1,948.15

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Solution

The fourth proportional to 5,410.09, 8,111.89 and 1,948.15 is: 2,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.09 : 8,111.89 = 1,948.15 : x
  2. Step 2: Convert to fraction form
    5,410.09/8,111.89 = 1,948.15/x
  3. Step 3: Cross multiply
    5,410.09x = 8,111.89 × 1,948.15
  4. Step 4: Simplify right side
    5,410.09x = 15,803,178.50
  5. Step 5: Solve for x
    x = 15,803,178.50/5,410.09
  6. Step 6: Final answer
    x = 2,921.06

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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.