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Finding the Fourth Proportional to 5,117.84, 7,062.96 and 3,856.67

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Solution

The fourth proportional to 5,117.84, 7,062.96 and 3,856.67 is: 5,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.84 : 7,062.96 = 3,856.67 : x
  2. Step 2: Convert to fraction form
    5,117.84/7,062.96 = 3,856.67/x
  3. Step 3: Cross multiply
    5,117.84x = 7,062.96 × 3,856.67
  4. Step 4: Simplify right side
    5,117.84x = 27,239,505.94
  5. Step 5: Solve for x
    x = 27,239,505.94/5,117.84
  6. Step 6: Final answer
    x = 5,322.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.