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Finding the Fourth Proportional to 4,838.36, 6,678.05 and 3,156.80

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Solution

The fourth proportional to 4,838.36, 6,678.05 and 3,156.80 is: 4,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.36 : 6,678.05 = 3,156.80 : x
  2. Step 2: Convert to fraction form
    4,838.36/6,678.05 = 3,156.80/x
  3. Step 3: Cross multiply
    4,838.36x = 6,678.05 × 3,156.80
  4. Step 4: Simplify right side
    4,838.36x = 21,081,219.07
  5. Step 5: Solve for x
    x = 21,081,219.07/4,838.36
  6. Step 6: Final answer
    x = 4,357.10

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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.