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Finding the Fourth Proportional to 5,362.47, 7,400.16 and 2,972.52

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Solution

The fourth proportional to 5,362.47, 7,400.16 and 2,972.52 is: 4,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.47 : 7,400.16 = 2,972.52 : x
  2. Step 2: Convert to fraction form
    5,362.47/7,400.16 = 2,972.52/x
  3. Step 3: Cross multiply
    5,362.47x = 7,400.16 × 2,972.52
  4. Step 4: Simplify right side
    5,362.47x = 21,997,123.60
  5. Step 5: Solve for x
    x = 21,997,123.60/5,362.47
  6. Step 6: Final answer
    x = 4,102.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.