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Finding the Fourth Proportional to 3,847.76, 5,308.06 and 3,315.72

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Solution

The fourth proportional to 3,847.76, 5,308.06 and 3,315.72 is: 4,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.76 : 5,308.06 = 3,315.72 : x
  2. Step 2: Convert to fraction form
    3,847.76/5,308.06 = 3,315.72/x
  3. Step 3: Cross multiply
    3,847.76x = 5,308.06 × 3,315.72
  4. Step 4: Simplify right side
    3,847.76x = 17,600,040.70
  5. Step 5: Solve for x
    x = 17,600,040.70/3,847.76
  6. Step 6: Final answer
    x = 4,574.10

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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.