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Finding the Fourth Proportional to 3,524.76, 4,864.16 and 1,931.47

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Solution

The fourth proportional to 3,524.76, 4,864.16 and 1,931.47 is: 2,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.76 : 4,864.16 = 1,931.47 : x
  2. Step 2: Convert to fraction form
    3,524.76/4,864.16 = 1,931.47/x
  3. Step 3: Cross multiply
    3,524.76x = 4,864.16 × 1,931.47
  4. Step 4: Simplify right side
    3,524.76x = 9,394,962.66
  5. Step 5: Solve for x
    x = 9,394,962.66/3,524.76
  6. Step 6: Final answer
    x = 2,665.42

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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.