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Finding the Fourth Proportional to 5,756.32, 8,634.87 and 1,539.52

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Solution

The fourth proportional to 5,756.32, 8,634.87 and 1,539.52 is: 2,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.32 : 8,634.87 = 1,539.52 : x
  2. Step 2: Convert to fraction form
    5,756.32/8,634.87 = 1,539.52/x
  3. Step 3: Cross multiply
    5,756.32x = 8,634.87 × 1,539.52
  4. Step 4: Simplify right side
    5,756.32x = 13,293,555.06
  5. Step 5: Solve for x
    x = 13,293,555.06/5,756.32
  6. Step 6: Final answer
    x = 2,309.38

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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.