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Finding the Fourth Proportional to 4,238.49, 6,356.64 and 1,897.17

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Solution

The fourth proportional to 4,238.49, 6,356.64 and 1,897.17 is: 2,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.49 : 6,356.64 = 1,897.17 : x
  2. Step 2: Convert to fraction form
    4,238.49/6,356.64 = 1,897.17/x
  3. Step 3: Cross multiply
    4,238.49x = 6,356.64 × 1,897.17
  4. Step 4: Simplify right side
    4,238.49x = 12,059,626.71
  5. Step 5: Solve for x
    x = 12,059,626.71/4,238.49
  6. Step 6: Final answer
    x = 2,845.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.