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Finding the Fourth Proportional to 5,678.48, 7,837.08 and 3,321.20

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Solution

The fourth proportional to 5,678.48, 7,837.08 and 3,321.20 is: 4,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.48 : 7,837.08 = 3,321.20 : x
  2. Step 2: Convert to fraction form
    5,678.48/7,837.08 = 3,321.20/x
  3. Step 3: Cross multiply
    5,678.48x = 7,837.08 × 3,321.20
  4. Step 4: Simplify right side
    5,678.48x = 26,028,510.10
  5. Step 5: Solve for x
    x = 26,028,510.10/5,678.48
  6. Step 6: Final answer
    x = 4,583.71

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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.