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Finding the Fourth Proportional to 4,196.56, 6,296.06 and 1,856.47

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Solution

The fourth proportional to 4,196.56, 6,296.06 and 1,856.47 is: 2,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.56 : 6,296.06 = 1,856.47 : x
  2. Step 2: Convert to fraction form
    4,196.56/6,296.06 = 1,856.47/x
  3. Step 3: Cross multiply
    4,196.56x = 6,296.06 × 1,856.47
  4. Step 4: Simplify right side
    4,196.56x = 11,688,446.51
  5. Step 5: Solve for x
    x = 11,688,446.51/4,196.56
  6. Step 6: Final answer
    x = 2,785.24

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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.