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Finding the Fourth Proportional to 5,690.48, 8,529.30 and 2,565.90

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Solution

The fourth proportional to 5,690.48, 8,529.30 and 2,565.90 is: 3,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.48 : 8,529.30 = 2,565.90 : x
  2. Step 2: Convert to fraction form
    5,690.48/8,529.30 = 2,565.90/x
  3. Step 3: Cross multiply
    5,690.48x = 8,529.30 × 2,565.90
  4. Step 4: Simplify right side
    5,690.48x = 21,885,330.87
  5. Step 5: Solve for x
    x = 21,885,330.87/5,690.48
  6. Step 6: Final answer
    x = 3,845.96

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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.