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Finding the Fourth Proportional to 3,532.74, 5,297.10 and 1,066.86

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Solution

The fourth proportional to 3,532.74, 5,297.10 and 1,066.86 is: 1,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.74 : 5,297.10 = 1,066.86 : x
  2. Step 2: Convert to fraction form
    3,532.74/5,297.10 = 1,066.86/x
  3. Step 3: Cross multiply
    3,532.74x = 5,297.10 × 1,066.86
  4. Step 4: Simplify right side
    3,532.74x = 5,651,264.11
  5. Step 5: Solve for x
    x = 5,651,264.11/3,532.74
  6. Step 6: Final answer
    x = 1,599.68

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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.