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Finding the Fourth Proportional to 4,647.80, 6,414.18 and 2,657.84

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Solution

The fourth proportional to 4,647.80, 6,414.18 and 2,657.84 is: 3,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.80 : 6,414.18 = 2,657.84 : x
  2. Step 2: Convert to fraction form
    4,647.80/6,414.18 = 2,657.84/x
  3. Step 3: Cross multiply
    4,647.80x = 6,414.18 × 2,657.84
  4. Step 4: Simplify right side
    4,647.80x = 17,047,864.17
  5. Step 5: Solve for x
    x = 17,047,864.17/4,647.80
  6. Step 6: Final answer
    x = 3,667.94

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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.