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Finding the Fourth Proportional to 4,287.84, 5,916.96 and 2,716.44

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Solution

The fourth proportional to 4,287.84, 5,916.96 and 2,716.44 is: 3,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.84 : 5,916.96 = 2,716.44 : x
  2. Step 2: Convert to fraction form
    4,287.84/5,916.96 = 2,716.44/x
  3. Step 3: Cross multiply
    4,287.84x = 5,916.96 × 2,716.44
  4. Step 4: Simplify right side
    4,287.84x = 16,073,066.82
  5. Step 5: Solve for x
    x = 16,073,066.82/4,287.84
  6. Step 6: Final answer
    x = 3,748.52

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1.5x scale

Why These Related Problems?

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