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Finding the Fourth Proportional to 3,767.84, 5,197.20 and 2,368.16

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Solution

The fourth proportional to 3,767.84, 5,197.20 and 2,368.16 is: 3,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.84 : 5,197.20 = 2,368.16 : x
  2. Step 2: Convert to fraction form
    3,767.84/5,197.20 = 2,368.16/x
  3. Step 3: Cross multiply
    3,767.84x = 5,197.20 × 2,368.16
  4. Step 4: Simplify right side
    3,767.84x = 12,307,801.15
  5. Step 5: Solve for x
    x = 12,307,801.15/3,767.84
  6. Step 6: Final answer
    x = 3,266.54

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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.