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Finding the Fourth Proportional to 3,521.46, 5,282.61 and 924.42

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Solution

The fourth proportional to 3,521.46, 5,282.61 and 924.42 is: 1,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.46 : 5,282.61 = 924.42 : x
  2. Step 2: Convert to fraction form
    3,521.46/5,282.61 = 924.42/x
  3. Step 3: Cross multiply
    3,521.46x = 5,282.61 × 924.42
  4. Step 4: Simplify right side
    3,521.46x = 4,883,350.34
  5. Step 5: Solve for x
    x = 4,883,350.34/3,521.46
  6. Step 6: Final answer
    x = 1,386.74

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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.