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Finding the Fourth Proportional to 4,860.70, 6,706.47 and 3,286.06

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Solution

The fourth proportional to 4,860.70, 6,706.47 and 3,286.06 is: 4,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.70 : 6,706.47 = 3,286.06 : x
  2. Step 2: Convert to fraction form
    4,860.70/6,706.47 = 3,286.06/x
  3. Step 3: Cross multiply
    4,860.70x = 6,706.47 × 3,286.06
  4. Step 4: Simplify right side
    4,860.70x = 22,037,862.81
  5. Step 5: Solve for x
    x = 22,037,862.81/4,860.70
  6. Step 6: Final answer
    x = 4,533.89

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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.