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Finding the Fourth Proportional to 3,574.26, 4,931.42 and 2,002.32

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Solution

The fourth proportional to 3,574.26, 4,931.42 and 2,002.32 is: 2,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.26 : 4,931.42 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    3,574.26/4,931.42 = 2,002.32/x
  3. Step 3: Cross multiply
    3,574.26x = 4,931.42 × 2,002.32
  4. Step 4: Simplify right side
    3,574.26x = 9,874,270.88
  5. Step 5: Solve for x
    x = 9,874,270.88/3,574.26
  6. Step 6: Final answer
    x = 2,762.61

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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.