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Finding the Fourth Proportional to 4,686.75, 7,027.80 and 1,565.69

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Solution

The fourth proportional to 4,686.75, 7,027.80 and 1,565.69 is: 2,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.75 : 7,027.80 = 1,565.69 : x
  2. Step 2: Convert to fraction form
    4,686.75/7,027.80 = 1,565.69/x
  3. Step 3: Cross multiply
    4,686.75x = 7,027.80 × 1,565.69
  4. Step 4: Simplify right side
    4,686.75x = 11,003,321.04
  5. Step 5: Solve for x
    x = 11,003,321.04/4,686.75
  6. Step 6: Final answer
    x = 2,347.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.