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Finding the Fourth Proportional to 4,655.17, 6,982.03 and 3,869.58

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Solution

The fourth proportional to 4,655.17, 6,982.03 and 3,869.58 is: 5,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.17 : 6,982.03 = 3,869.58 : x
  2. Step 2: Convert to fraction form
    4,655.17/6,982.03 = 3,869.58/x
  3. Step 3: Cross multiply
    4,655.17x = 6,982.03 × 3,869.58
  4. Step 4: Simplify right side
    4,655.17x = 27,017,523.65
  5. Step 5: Solve for x
    x = 27,017,523.65/4,655.17
  6. Step 6: Final answer
    x = 5,803.77

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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.