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Finding the Fourth Proportional to 5,345.70, 8,023.78 and 2,885.78

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Solution

The fourth proportional to 5,345.70, 8,023.78 and 2,885.78 is: 4,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.70 : 8,023.78 = 2,885.78 : x
  2. Step 2: Convert to fraction form
    5,345.70/8,023.78 = 2,885.78/x
  3. Step 3: Cross multiply
    5,345.70x = 8,023.78 × 2,885.78
  4. Step 4: Simplify right side
    5,345.70x = 23,154,850.50
  5. Step 5: Solve for x
    x = 23,154,850.50/5,345.70
  6. Step 6: Final answer
    x = 4,331.49

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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.