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Finding the Fourth Proportional to 4,569.32, 6,856.07 and 2,486.20

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Solution

The fourth proportional to 4,569.32, 6,856.07 and 2,486.20 is: 3,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.32 : 6,856.07 = 2,486.20 : x
  2. Step 2: Convert to fraction form
    4,569.32/6,856.07 = 2,486.20/x
  3. Step 3: Cross multiply
    4,569.32x = 6,856.07 × 2,486.20
  4. Step 4: Simplify right side
    4,569.32x = 17,045,561.23
  5. Step 5: Solve for x
    x = 17,045,561.23/4,569.32
  6. Step 6: Final answer
    x = 3,730.44

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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.