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Finding the Fourth Proportional to 5,729, 8,595.12 and 2,442.74

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Solution

The fourth proportional to 5,729, 8,595.12 and 2,442.74 is: 3,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729 : 8,595.12 = 2,442.74 : x
  2. Step 2: Convert to fraction form
    5,729/8,595.12 = 2,442.74/x
  3. Step 3: Cross multiply
    5,729x = 8,595.12 × 2,442.74
  4. Step 4: Simplify right side
    5,729x = 20,995,643.43
  5. Step 5: Solve for x
    x = 20,995,643.43/5,729
  6. Step 6: Final answer
    x = 3,664.80

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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.