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Finding the Fourth Proportional to 5,637.28, 7,774.72 and 4,224.28

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Solution

The fourth proportional to 5,637.28, 7,774.72 and 4,224.28 is: 5,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.28 : 7,774.72 = 4,224.28 : x
  2. Step 2: Convert to fraction form
    5,637.28/7,774.72 = 4,224.28/x
  3. Step 3: Cross multiply
    5,637.28x = 7,774.72 × 4,224.28
  4. Step 4: Simplify right side
    5,637.28x = 32,842,594.20
  5. Step 5: Solve for x
    x = 32,842,594.20/5,637.28
  6. Step 6: Final answer
    x = 5,825.96

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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.