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Finding the Fourth Proportional to 5,641.24, 7,784.96 and 3,157.24

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Solution

The fourth proportional to 5,641.24, 7,784.96 and 3,157.24 is: 4,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.24 : 7,784.96 = 3,157.24 : x
  2. Step 2: Convert to fraction form
    5,641.24/7,784.96 = 3,157.24/x
  3. Step 3: Cross multiply
    5,641.24x = 7,784.96 × 3,157.24
  4. Step 4: Simplify right side
    5,641.24x = 24,578,987.11
  5. Step 5: Solve for x
    x = 24,578,987.11/5,641.24
  6. Step 6: Final answer
    x = 4,357.02

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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.