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Finding the Fourth Proportional to 6,278.21, 8,661.78 and 3,587.50

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Solution

The fourth proportional to 6,278.21, 8,661.78 and 3,587.50 is: 4,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.21 : 8,661.78 = 3,587.50 : x
  2. Step 2: Convert to fraction form
    6,278.21/8,661.78 = 3,587.50/x
  3. Step 3: Cross multiply
    6,278.21x = 8,661.78 × 3,587.50
  4. Step 4: Simplify right side
    6,278.21x = 31,074,135.75
  5. Step 5: Solve for x
    x = 31,074,135.75/6,278.21
  6. Step 6: Final answer
    x = 4,949.52

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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.