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Finding the Fourth Proportional to 5,856.71, 8,774.43 and 3,386.31

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Solution

The fourth proportional to 5,856.71, 8,774.43 and 3,386.31 is: 5,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.71 : 8,774.43 = 3,386.31 : x
  2. Step 2: Convert to fraction form
    5,856.71/8,774.43 = 3,386.31/x
  3. Step 3: Cross multiply
    5,856.71x = 8,774.43 × 3,386.31
  4. Step 4: Simplify right side
    5,856.71x = 29,712,940.05
  5. Step 5: Solve for x
    x = 29,712,940.05/5,856.71
  6. Step 6: Final answer
    x = 5,073.32

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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.