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Finding the Fourth Proportional to 4,646.80, 6,971.28 and 3,350.80

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Solution

The fourth proportional to 4,646.80, 6,971.28 and 3,350.80 is: 5,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.80 : 6,971.28 = 3,350.80 : x
  2. Step 2: Convert to fraction form
    4,646.80/6,971.28 = 3,350.80/x
  3. Step 3: Cross multiply
    4,646.80x = 6,971.28 × 3,350.80
  4. Step 4: Simplify right side
    4,646.80x = 23,359,365.02
  5. Step 5: Solve for x
    x = 23,359,365.02/4,646.80
  6. Step 6: Final answer
    x = 5,026.98

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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.