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Finding the Fourth Proportional to 5,468.26, 7,547.03 and 3,982.93

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Solution

The fourth proportional to 5,468.26, 7,547.03 and 3,982.93 is: 5,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.26 : 7,547.03 = 3,982.93 : x
  2. Step 2: Convert to fraction form
    5,468.26/7,547.03 = 3,982.93/x
  3. Step 3: Cross multiply
    5,468.26x = 7,547.03 × 3,982.93
  4. Step 4: Simplify right side
    5,468.26x = 30,059,292.20
  5. Step 5: Solve for x
    x = 30,059,292.20/5,468.26
  6. Step 6: Final answer
    x = 5,497.05

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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.