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Finding the Fourth Proportional to 5,870.69, 8,102.21 and 3,353.16

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Solution

The fourth proportional to 5,870.69, 8,102.21 and 3,353.16 is: 4,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.69 : 8,102.21 = 3,353.16 : x
  2. Step 2: Convert to fraction form
    5,870.69/8,102.21 = 3,353.16/x
  3. Step 3: Cross multiply
    5,870.69x = 8,102.21 × 3,353.16
  4. Step 4: Simplify right side
    5,870.69x = 27,168,006.48
  5. Step 5: Solve for x
    x = 27,168,006.48/5,870.69
  6. Step 6: Final answer
    x = 4,627.74

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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.