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Finding the Fourth Proportional to 3,760.29, 5,642.06 and 1,569.51

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Solution

The fourth proportional to 3,760.29, 5,642.06 and 1,569.51 is: 2,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.29 : 5,642.06 = 1,569.51 : x
  2. Step 2: Convert to fraction form
    3,760.29/5,642.06 = 1,569.51/x
  3. Step 3: Cross multiply
    3,760.29x = 5,642.06 × 1,569.51
  4. Step 4: Simplify right side
    3,760.29x = 8,855,261.74
  5. Step 5: Solve for x
    x = 8,855,261.74/3,760.29
  6. Step 6: Final answer
    x = 2,354.94

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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.