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Finding the Fourth Proportional to 5,347.92, 8,016.48 and 2,570.52

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Solution

The fourth proportional to 5,347.92, 8,016.48 and 2,570.52 is: 3,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.92 : 8,016.48 = 2,570.52 : x
  2. Step 2: Convert to fraction form
    5,347.92/8,016.48 = 2,570.52/x
  3. Step 3: Cross multiply
    5,347.92x = 8,016.48 × 2,570.52
  4. Step 4: Simplify right side
    5,347.92x = 20,606,522.17
  5. Step 5: Solve for x
    x = 20,606,522.17/5,347.92
  6. Step 6: Final answer
    x = 3,853.18

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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.