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Finding the Fourth Proportional to 5,822.76, 8,035.40 and 3,170.16

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Solution

The fourth proportional to 5,822.76, 8,035.40 and 3,170.16 is: 4,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.76 : 8,035.40 = 3,170.16 : x
  2. Step 2: Convert to fraction form
    5,822.76/8,035.40 = 3,170.16/x
  3. Step 3: Cross multiply
    5,822.76x = 8,035.40 × 3,170.16
  4. Step 4: Simplify right side
    5,822.76x = 25,473,487.81
  5. Step 5: Solve for x
    x = 25,473,487.81/5,822.76
  6. Step 6: Final answer
    x = 4,374.82

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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.