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Finding the Fourth Proportional to 5,678.73, 7,837.14 and 3,160.80

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Solution

The fourth proportional to 5,678.73, 7,837.14 and 3,160.80 is: 4,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.73 : 7,837.14 = 3,160.80 : x
  2. Step 2: Convert to fraction form
    5,678.73/7,837.14 = 3,160.80/x
  3. Step 3: Cross multiply
    5,678.73x = 7,837.14 × 3,160.80
  4. Step 4: Simplify right side
    5,678.73x = 24,771,632.11
  5. Step 5: Solve for x
    x = 24,771,632.11/5,678.73
  6. Step 6: Final answer
    x = 4,362.18

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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.