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Finding the Fourth Proportional to 5,869.76, 8,788.32 and 4,693.76

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Solution

The fourth proportional to 5,869.76, 8,788.32 and 4,693.76 is: 7,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.76 : 8,788.32 = 4,693.76 : x
  2. Step 2: Convert to fraction form
    5,869.76/8,788.32 = 4,693.76/x
  3. Step 3: Cross multiply
    5,869.76x = 8,788.32 × 4,693.76
  4. Step 4: Simplify right side
    5,869.76x = 41,250,264.88
  5. Step 5: Solve for x
    x = 41,250,264.88/5,869.76
  6. Step 6: Final answer
    x = 7,027.59

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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.