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Finding the Fourth Proportional to 4,874.86, 6,725.16 and 3,106.06

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Solution

The fourth proportional to 4,874.86, 6,725.16 and 3,106.06 is: 4,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.86 : 6,725.16 = 3,106.06 : x
  2. Step 2: Convert to fraction form
    4,874.86/6,725.16 = 3,106.06/x
  3. Step 3: Cross multiply
    4,874.86x = 6,725.16 × 3,106.06
  4. Step 4: Simplify right side
    4,874.86x = 20,888,750.47
  5. Step 5: Solve for x
    x = 20,888,750.47/4,874.86
  6. Step 6: Final answer
    x = 4,284.99

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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.