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Finding the Fourth Proportional to 4,284, 5,911.80 and 2,515.74

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Solution

The fourth proportional to 4,284, 5,911.80 and 2,515.74 is: 3,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284 : 5,911.80 = 2,515.74 : x
  2. Step 2: Convert to fraction form
    4,284/5,911.80 = 2,515.74/x
  3. Step 3: Cross multiply
    4,284x = 5,911.80 × 2,515.74
  4. Step 4: Simplify right side
    4,284x = 14,872,551.73
  5. Step 5: Solve for x
    x = 14,872,551.73/4,284
  6. Step 6: Final answer
    x = 3,471.65

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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.