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Finding the Fourth Proportional to 4,775.79, 7,164.42 and 1,488.18

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Solution

The fourth proportional to 4,775.79, 7,164.42 and 1,488.18 is: 2,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.79 : 7,164.42 = 1,488.18 : x
  2. Step 2: Convert to fraction form
    4,775.79/7,164.42 = 1,488.18/x
  3. Step 3: Cross multiply
    4,775.79x = 7,164.42 × 1,488.18
  4. Step 4: Simplify right side
    4,775.79x = 10,661,946.56
  5. Step 5: Solve for x
    x = 10,661,946.56/4,775.79
  6. Step 6: Final answer
    x = 2,232.50

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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.