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Finding the Fourth Proportional to 5,407.74, 8,105.61 and 2,483.10

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Solution

The fourth proportional to 5,407.74, 8,105.61 and 2,483.10 is: 3,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.74 : 8,105.61 = 2,483.10 : x
  2. Step 2: Convert to fraction form
    5,407.74/8,105.61 = 2,483.10/x
  3. Step 3: Cross multiply
    5,407.74x = 8,105.61 × 2,483.10
  4. Step 4: Simplify right side
    5,407.74x = 20,127,040.19
  5. Step 5: Solve for x
    x = 20,127,040.19/5,407.74
  6. Step 6: Final answer
    x = 3,721.89

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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.