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Finding the Fourth Proportional to 4,669.61, 7,004.46 and 2,197.40

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Solution

The fourth proportional to 4,669.61, 7,004.46 and 2,197.40 is: 3,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.61 : 7,004.46 = 2,197.40 : x
  2. Step 2: Convert to fraction form
    4,669.61/7,004.46 = 2,197.40/x
  3. Step 3: Cross multiply
    4,669.61x = 7,004.46 × 2,197.40
  4. Step 4: Simplify right side
    4,669.61x = 15,391,600.40
  5. Step 5: Solve for x
    x = 15,391,600.40/4,669.61
  6. Step 6: Final answer
    x = 3,296.12

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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.