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Finding the Fourth Proportional to 6,277.49, 8,648.67 and 4,856.28

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Solution

The fourth proportional to 6,277.49, 8,648.67 and 4,856.28 is: 6,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.49 : 8,648.67 = 4,856.28 : x
  2. Step 2: Convert to fraction form
    6,277.49/8,648.67 = 4,856.28/x
  3. Step 3: Cross multiply
    6,277.49x = 8,648.67 × 4,856.28
  4. Step 4: Simplify right side
    6,277.49x = 42,000,373.25
  5. Step 5: Solve for x
    x = 42,000,373.25/6,277.49
  6. Step 6: Final answer
    x = 6,690.63

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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.