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Finding the Fourth Proportional to 3,758.29, 5,637.16 and 1,678.48

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Solution

The fourth proportional to 3,758.29, 5,637.16 and 1,678.48 is: 2,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.29 : 5,637.16 = 1,678.48 : x
  2. Step 2: Convert to fraction form
    3,758.29/5,637.16 = 1,678.48/x
  3. Step 3: Cross multiply
    3,758.29x = 5,637.16 × 1,678.48
  4. Step 4: Simplify right side
    3,758.29x = 9,461,860.32
  5. Step 5: Solve for x
    x = 9,461,860.32/3,758.29
  6. Step 6: Final answer
    x = 2,517.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.