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Finding the Fourth Proportional to 5,212, 7,192.56 and 2,854.16

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Solution

The fourth proportional to 5,212, 7,192.56 and 2,854.16 is: 3,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212 : 7,192.56 = 2,854.16 : x
  2. Step 2: Convert to fraction form
    5,212/7,192.56 = 2,854.16/x
  3. Step 3: Cross multiply
    5,212x = 7,192.56 × 2,854.16
  4. Step 4: Simplify right side
    5,212x = 20,528,717.05
  5. Step 5: Solve for x
    x = 20,528,717.05/5,212
  6. Step 6: Final answer
    x = 3,938.74

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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.