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Finding the Fourth Proportional to 6,089.16, 8,390.48 and 4,672.78

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Solution

The fourth proportional to 6,089.16, 8,390.48 and 4,672.78 is: 6,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.16 : 8,390.48 = 4,672.78 : x
  2. Step 2: Convert to fraction form
    6,089.16/8,390.48 = 4,672.78/x
  3. Step 3: Cross multiply
    6,089.16x = 8,390.48 × 4,672.78
  4. Step 4: Simplify right side
    6,089.16x = 39,206,867.13
  5. Step 5: Solve for x
    x = 39,206,867.13/6,089.16
  6. Step 6: Final answer
    x = 6,438.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.