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Finding the Fourth Proportional to 4,218, 6,319.08 and 3,899.76

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Solution

The fourth proportional to 4,218, 6,319.08 and 3,899.76 is: 5,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 6,319.08 = 3,899.76 : x
  2. Step 2: Convert to fraction form
    4,218/6,319.08 = 3,899.76/x
  3. Step 3: Cross multiply
    4,218x = 6,319.08 × 3,899.76
  4. Step 4: Simplify right side
    4,218x = 24,642,895.42
  5. Step 5: Solve for x
    x = 24,642,895.42/4,218
  6. Step 6: Final answer
    x = 5,842.32

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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.