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Finding the Fourth Proportional to 5,972.65, 8,242.42 and 3,454.51

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Solution

The fourth proportional to 5,972.65, 8,242.42 and 3,454.51 is: 4,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.65 : 8,242.42 = 3,454.51 : x
  2. Step 2: Convert to fraction form
    5,972.65/8,242.42 = 3,454.51/x
  3. Step 3: Cross multiply
    5,972.65x = 8,242.42 × 3,454.51
  4. Step 4: Simplify right side
    5,972.65x = 28,473,522.31
  5. Step 5: Solve for x
    x = 28,473,522.31/5,972.65
  6. Step 6: Final answer
    x = 4,767.32

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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.