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Finding the Fourth Proportional to 3,834.08, 5,291.12 and 3,599.16

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Solution

The fourth proportional to 3,834.08, 5,291.12 and 3,599.16 is: 4,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.08 : 5,291.12 = 3,599.16 : x
  2. Step 2: Convert to fraction form
    3,834.08/5,291.12 = 3,599.16/x
  3. Step 3: Cross multiply
    3,834.08x = 5,291.12 × 3,599.16
  4. Step 4: Simplify right side
    3,834.08x = 19,043,587.46
  5. Step 5: Solve for x
    x = 19,043,587.46/3,834.08
  6. Step 6: Final answer
    x = 4,966.92

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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.