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Finding the Fourth Proportional to 4,853.17, 7,269.43 and 3,670.17

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Solution

The fourth proportional to 4,853.17, 7,269.43 and 3,670.17 is: 5,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.17 : 7,269.43 = 3,670.17 : x
  2. Step 2: Convert to fraction form
    4,853.17/7,269.43 = 3,670.17/x
  3. Step 3: Cross multiply
    4,853.17x = 7,269.43 × 3,670.17
  4. Step 4: Simplify right side
    4,853.17x = 26,680,043.90
  5. Step 5: Solve for x
    x = 26,680,043.90/4,853.17
  6. Step 6: Final answer
    x = 5,497.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.