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Finding the Fourth Proportional to 3,856.49, 5,784.98 and 1,357.37

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Solution

The fourth proportional to 3,856.49, 5,784.98 and 1,357.37 is: 2,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.49 : 5,784.98 = 1,357.37 : x
  2. Step 2: Convert to fraction form
    3,856.49/5,784.98 = 1,357.37/x
  3. Step 3: Cross multiply
    3,856.49x = 5,784.98 × 1,357.37
  4. Step 4: Simplify right side
    3,856.49x = 7,852,322.59
  5. Step 5: Solve for x
    x = 7,852,322.59/3,856.49
  6. Step 6: Final answer
    x = 2,036.13

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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.