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Finding the Fourth Proportional to 5,460.77, 8,191.31 and 1,565.17

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Solution

The fourth proportional to 5,460.77, 8,191.31 and 1,565.17 is: 2,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.77 : 8,191.31 = 1,565.17 : x
  2. Step 2: Convert to fraction form
    5,460.77/8,191.31 = 1,565.17/x
  3. Step 3: Cross multiply
    5,460.77x = 8,191.31 × 1,565.17
  4. Step 4: Simplify right side
    5,460.77x = 12,820,764.37
  5. Step 5: Solve for x
    x = 12,820,764.37/5,460.77
  6. Step 6: Final answer
    x = 2,347.79

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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.