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Finding the Fourth Proportional to 5,774.12, 8,670.90 and 5,728.76

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Solution

The fourth proportional to 5,774.12, 8,670.90 and 5,728.76 is: 8,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.12 : 8,670.90 = 5,728.76 : x
  2. Step 2: Convert to fraction form
    5,774.12/8,670.90 = 5,728.76/x
  3. Step 3: Cross multiply
    5,774.12x = 8,670.90 × 5,728.76
  4. Step 4: Simplify right side
    5,774.12x = 49,673,505.08
  5. Step 5: Solve for x
    x = 49,673,505.08/5,774.12
  6. Step 6: Final answer
    x = 8,602.78

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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.