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Finding the Fourth Proportional to 6,418.47, 8,856.63 and 3,585.42

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Solution

The fourth proportional to 6,418.47, 8,856.63 and 3,585.42 is: 4,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.47 : 8,856.63 = 3,585.42 : x
  2. Step 2: Convert to fraction form
    6,418.47/8,856.63 = 3,585.42/x
  3. Step 3: Cross multiply
    6,418.47x = 8,856.63 × 3,585.42
  4. Step 4: Simplify right side
    6,418.47x = 31,754,738.33
  5. Step 5: Solve for x
    x = 31,754,738.33/6,418.47
  6. Step 6: Final answer
    x = 4,947.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.