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Finding the Fourth Proportional to 4,886.57, 7,322.16 and 3,778.70

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Solution

The fourth proportional to 4,886.57, 7,322.16 and 3,778.70 is: 5,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.57 : 7,322.16 = 3,778.70 : x
  2. Step 2: Convert to fraction form
    4,886.57/7,322.16 = 3,778.70/x
  3. Step 3: Cross multiply
    4,886.57x = 7,322.16 × 3,778.70
  4. Step 4: Simplify right side
    4,886.57x = 27,668,209.38
  5. Step 5: Solve for x
    x = 27,668,209.38/4,886.57
  6. Step 6: Final answer
    x = 5,662.10

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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.