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Finding the Fourth Proportional to 3,320.06, 4,978.94 and 1,472.47

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Solution

The fourth proportional to 3,320.06, 4,978.94 and 1,472.47 is: 2,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.06 : 4,978.94 = 1,472.47 : x
  2. Step 2: Convert to fraction form
    3,320.06/4,978.94 = 1,472.47/x
  3. Step 3: Cross multiply
    3,320.06x = 4,978.94 × 1,472.47
  4. Step 4: Simplify right side
    3,320.06x = 7,331,307.52
  5. Step 5: Solve for x
    x = 7,331,307.52/3,320.06
  6. Step 6: Final answer
    x = 2,208.19

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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.