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Finding the Fourth Proportional to 3,848.49, 5,308.47 and 2,275.47

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Solution

The fourth proportional to 3,848.49, 5,308.47 and 2,275.47 is: 3,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.49 : 5,308.47 = 2,275.47 : x
  2. Step 2: Convert to fraction form
    3,848.49/5,308.47 = 2,275.47/x
  3. Step 3: Cross multiply
    3,848.49x = 5,308.47 × 2,275.47
  4. Step 4: Simplify right side
    3,848.49x = 12,079,264.23
  5. Step 5: Solve for x
    x = 12,079,264.23/3,848.49
  6. Step 6: Final answer
    x = 3,138.70

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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.