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Finding the Fourth Proportional to 3,869.16, 5,806.28 and 2,308

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Solution

The fourth proportional to 3,869.16, 5,806.28 and 2,308 is: 3,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.16 : 5,806.28 = 2,308 : x
  2. Step 2: Convert to fraction form
    3,869.16/5,806.28 = 2,308/x
  3. Step 3: Cross multiply
    3,869.16x = 5,806.28 × 2,308
  4. Step 4: Simplify right side
    3,869.16x = 13,400,894.24
  5. Step 5: Solve for x
    x = 13,400,894.24/3,869.16
  6. Step 6: Final answer
    x = 3,463.52

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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.