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Finding the Fourth Proportional to 4,568.67, 6,856.25 and 1,970.19

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Solution

The fourth proportional to 4,568.67, 6,856.25 and 1,970.19 is: 2,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.67 : 6,856.25 = 1,970.19 : x
  2. Step 2: Convert to fraction form
    4,568.67/6,856.25 = 1,970.19/x
  3. Step 3: Cross multiply
    4,568.67x = 6,856.25 × 1,970.19
  4. Step 4: Simplify right side
    4,568.67x = 13,508,105.34
  5. Step 5: Solve for x
    x = 13,508,105.34/4,568.67
  6. Step 6: Final answer
    x = 2,956.68

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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.