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Finding the Fourth Proportional to 5,856.36, 8,774.62 and 3,543

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Solution

The fourth proportional to 5,856.36, 8,774.62 and 3,543 is: 5,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.36 : 8,774.62 = 3,543 : x
  2. Step 2: Convert to fraction form
    5,856.36/8,774.62 = 3,543/x
  3. Step 3: Cross multiply
    5,856.36x = 8,774.62 × 3,543
  4. Step 4: Simplify right side
    5,856.36x = 31,088,478.66
  5. Step 5: Solve for x
    x = 31,088,478.66/5,856.36
  6. Step 6: Final answer
    x = 5,308.50

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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.