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Finding the Fourth Proportional to 4,750, 7,122.24 and 1,973.50

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Solution

The fourth proportional to 4,750, 7,122.24 and 1,973.50 is: 2,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750 : 7,122.24 = 1,973.50 : x
  2. Step 2: Convert to fraction form
    4,750/7,122.24 = 1,973.50/x
  3. Step 3: Cross multiply
    4,750x = 7,122.24 × 1,973.50
  4. Step 4: Simplify right side
    4,750x = 14,055,740.64
  5. Step 5: Solve for x
    x = 14,055,740.64/4,750
  6. Step 6: Final answer
    x = 2,959.10

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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.