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Finding the Fourth Proportional to 6,126.41, 8,444.16 and 4,690.28

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Solution

The fourth proportional to 6,126.41, 8,444.16 and 4,690.28 is: 6,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.41 : 8,444.16 = 4,690.28 : x
  2. Step 2: Convert to fraction form
    6,126.41/8,444.16 = 4,690.28/x
  3. Step 3: Cross multiply
    6,126.41x = 8,444.16 × 4,690.28
  4. Step 4: Simplify right side
    6,126.41x = 39,605,474.76
  5. Step 5: Solve for x
    x = 39,605,474.76/6,126.41
  6. Step 6: Final answer
    x = 6,464.71

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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.