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Finding the Fourth Proportional to 4,853.52, 6,698.62 and 2,966.19

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Solution

The fourth proportional to 4,853.52, 6,698.62 and 2,966.19 is: 4,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.52 : 6,698.62 = 2,966.19 : x
  2. Step 2: Convert to fraction form
    4,853.52/6,698.62 = 2,966.19/x
  3. Step 3: Cross multiply
    4,853.52x = 6,698.62 × 2,966.19
  4. Step 4: Simplify right side
    4,853.52x = 19,869,423.11
  5. Step 5: Solve for x
    x = 19,869,423.11/4,853.52
  6. Step 6: Final answer
    x = 4,093.82

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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.