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Finding the Fourth Proportional to 5,290.05, 7,291.80 and 4,169.13

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Solution

The fourth proportional to 5,290.05, 7,291.80 and 4,169.13 is: 5,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.05 : 7,291.80 = 4,169.13 : x
  2. Step 2: Convert to fraction form
    5,290.05/7,291.80 = 4,169.13/x
  3. Step 3: Cross multiply
    5,290.05x = 7,291.80 × 4,169.13
  4. Step 4: Simplify right side
    5,290.05x = 30,400,462.13
  5. Step 5: Solve for x
    x = 30,400,462.13/5,290.05
  6. Step 6: Final answer
    x = 5,746.72

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