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Finding the Fourth Proportional to 5,278.66, 7,284.46 and 2,920.80

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Solution

The fourth proportional to 5,278.66, 7,284.46 and 2,920.80 is: 4,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.66 : 7,284.46 = 2,920.80 : x
  2. Step 2: Convert to fraction form
    5,278.66/7,284.46 = 2,920.80/x
  3. Step 3: Cross multiply
    5,278.66x = 7,284.46 × 2,920.80
  4. Step 4: Simplify right side
    5,278.66x = 21,276,450.77
  5. Step 5: Solve for x
    x = 21,276,450.77/5,278.66
  6. Step 6: Final answer
    x = 4,030.65

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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.