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Finding the Fourth Proportional to 5,778.64, 8,670.48 and 2,490.94

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Solution

The fourth proportional to 5,778.64, 8,670.48 and 2,490.94 is: 3,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.64 : 8,670.48 = 2,490.94 : x
  2. Step 2: Convert to fraction form
    5,778.64/8,670.48 = 2,490.94/x
  3. Step 3: Cross multiply
    5,778.64x = 8,670.48 × 2,490.94
  4. Step 4: Simplify right side
    5,778.64x = 21,597,645.45
  5. Step 5: Solve for x
    x = 21,597,645.45/5,778.64
  6. Step 6: Final answer
    x = 3,737.50

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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.