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Finding the Fourth Proportional to 3,856.32, 5,784.75 and 1,908

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Solution

The fourth proportional to 3,856.32, 5,784.75 and 1,908 is: 2,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.32 : 5,784.75 = 1,908 : x
  2. Step 2: Convert to fraction form
    3,856.32/5,784.75 = 1,908/x
  3. Step 3: Cross multiply
    3,856.32x = 5,784.75 × 1,908
  4. Step 4: Simplify right side
    3,856.32x = 11,037,303
  5. Step 5: Solve for x
    x = 11,037,303/3,856.32
  6. Step 6: Final answer
    x = 2,862.13

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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.