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Finding the Fourth Proportional to 5,731.12, 8,597.44 and 2,809.52

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Solution

The fourth proportional to 5,731.12, 8,597.44 and 2,809.52 is: 4,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.12 : 8,597.44 = 2,809.52 : x
  2. Step 2: Convert to fraction form
    5,731.12/8,597.44 = 2,809.52/x
  3. Step 3: Cross multiply
    5,731.12x = 8,597.44 × 2,809.52
  4. Step 4: Simplify right side
    5,731.12x = 24,154,679.63
  5. Step 5: Solve for x
    x = 24,154,679.63/5,731.12
  6. Step 6: Final answer
    x = 4,214.65

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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.