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Finding the Fourth Proportional to 3,838.47, 5,294.00 and 2,579.13

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Solution

The fourth proportional to 3,838.47, 5,294.00 and 2,579.13 is: 3,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.47 : 5,294.00 = 2,579.13 : x
  2. Step 2: Convert to fraction form
    3,838.47/5,294.00 = 2,579.13/x
  3. Step 3: Cross multiply
    3,838.47x = 5,294.00 × 2,579.13
  4. Step 4: Simplify right side
    3,838.47x = 13,653,901.32
  5. Step 5: Solve for x
    x = 13,653,901.32/3,838.47
  6. Step 6: Final answer
    x = 3,557.12

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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.