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Finding the Fourth Proportional to 4,726.13, 7,090.46 and 4,209.66

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Solution

The fourth proportional to 4,726.13, 7,090.46 and 4,209.66 is: 6,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.13 : 7,090.46 = 4,209.66 : x
  2. Step 2: Convert to fraction form
    4,726.13/7,090.46 = 4,209.66/x
  3. Step 3: Cross multiply
    4,726.13x = 7,090.46 × 4,209.66
  4. Step 4: Simplify right side
    4,726.13x = 29,848,404.80
  5. Step 5: Solve for x
    x = 29,848,404.80/4,726.13
  6. Step 6: Final answer
    x = 6,315.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.