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Finding the Fourth Proportional to 4,772.66, 7,160.81 and 1,853.01

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Solution

The fourth proportional to 4,772.66, 7,160.81 and 1,853.01 is: 2,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.66 : 7,160.81 = 1,853.01 : x
  2. Step 2: Convert to fraction form
    4,772.66/7,160.81 = 1,853.01/x
  3. Step 3: Cross multiply
    4,772.66x = 7,160.81 × 1,853.01
  4. Step 4: Simplify right side
    4,772.66x = 13,269,043.27
  5. Step 5: Solve for x
    x = 13,269,043.27/4,772.66
  6. Step 6: Final answer
    x = 2,780.22

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Why These Related Problems?

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