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Finding the Fourth Proportional to 5,488.66, 8,218.41 and 4,290.76

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Solution

The fourth proportional to 5,488.66, 8,218.41 and 4,290.76 is: 6,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.66 : 8,218.41 = 4,290.76 : x
  2. Step 2: Convert to fraction form
    5,488.66/8,218.41 = 4,290.76/x
  3. Step 3: Cross multiply
    5,488.66x = 8,218.41 × 4,290.76
  4. Step 4: Simplify right side
    5,488.66x = 35,263,224.89
  5. Step 5: Solve for x
    x = 35,263,224.89/5,488.66
  6. Step 6: Final answer
    x = 6,424.74

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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.