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Finding the Fourth Proportional to 4,838.14, 6,661.74 and 4,237.17

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Solution

The fourth proportional to 4,838.14, 6,661.74 and 4,237.17 is: 5,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.14 : 6,661.74 = 4,237.17 : x
  2. Step 2: Convert to fraction form
    4,838.14/6,661.74 = 4,237.17/x
  3. Step 3: Cross multiply
    4,838.14x = 6,661.74 × 4,237.17
  4. Step 4: Simplify right side
    4,838.14x = 28,226,908.99
  5. Step 5: Solve for x
    x = 28,226,908.99/4,838.14
  6. Step 6: Final answer
    x = 5,834.25

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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.