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Finding the Fourth Proportional to 5,468.96, 7,547.84 and 3,079.84

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Solution

The fourth proportional to 5,468.96, 7,547.84 and 3,079.84 is: 4,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.96 : 7,547.84 = 3,079.84 : x
  2. Step 2: Convert to fraction form
    5,468.96/7,547.84 = 3,079.84/x
  3. Step 3: Cross multiply
    5,468.96x = 7,547.84 × 3,079.84
  4. Step 4: Simplify right side
    5,468.96x = 23,246,139.55
  5. Step 5: Solve for x
    x = 23,246,139.55/5,468.96
  6. Step 6: Final answer
    x = 4,250.56

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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.