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Finding the Fourth Proportional to 5,641.13, 7,784.76 and 3,157.13

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Solution

The fourth proportional to 5,641.13, 7,784.76 and 3,157.13 is: 4,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.13 : 7,784.76 = 3,157.13 : x
  2. Step 2: Convert to fraction form
    5,641.13/7,784.76 = 3,157.13/x
  3. Step 3: Cross multiply
    5,641.13x = 7,784.76 × 3,157.13
  4. Step 4: Simplify right side
    5,641.13x = 24,577,460.42
  5. Step 5: Solve for x
    x = 24,577,460.42/5,641.13
  6. Step 6: Final answer
    x = 4,356.84

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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.