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Finding the Fourth Proportional to 7,297.01, 10,945.74 and 2,854.50

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Solution

The fourth proportional to 7,297.01, 10,945.74 and 2,854.50 is: 4,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.01 : 10,945.74 = 2,854.50 : x
  2. Step 2: Convert to fraction form
    7,297.01/10,945.74 = 2,854.50/x
  3. Step 3: Cross multiply
    7,297.01x = 10,945.74 × 2,854.50
  4. Step 4: Simplify right side
    7,297.01x = 31,244,614.83
  5. Step 5: Solve for x
    x = 31,244,614.83/7,297.01
  6. Step 6: Final answer
    x = 4,281.84

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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.