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Finding the Fourth Proportional to 3,856.48, 5,785.24 and 1,258.56

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Solution

The fourth proportional to 3,856.48, 5,785.24 and 1,258.56 is: 1,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.48 : 5,785.24 = 1,258.56 : x
  2. Step 2: Convert to fraction form
    3,856.48/5,785.24 = 1,258.56/x
  3. Step 3: Cross multiply
    3,856.48x = 5,785.24 × 1,258.56
  4. Step 4: Simplify right side
    3,856.48x = 7,281,071.65
  5. Step 5: Solve for x
    x = 7,281,071.65/3,856.48
  6. Step 6: Final answer
    x = 1,888.01

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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.