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Finding the Fourth Proportional to 3,848.76, 5,310 and 2,169.90

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Solution

The fourth proportional to 3,848.76, 5,310 and 2,169.90 is: 2,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.76 : 5,310 = 2,169.90 : x
  2. Step 2: Convert to fraction form
    3,848.76/5,310 = 2,169.90/x
  3. Step 3: Cross multiply
    3,848.76x = 5,310 × 2,169.90
  4. Step 4: Simplify right side
    3,848.76x = 11,522,169
  5. Step 5: Solve for x
    x = 11,522,169/3,848.76
  6. Step 6: Final answer
    x = 2,993.74

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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.