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Finding the Fourth Proportional to 5,234.49, 7,223.63 and 2,844.48

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Solution

The fourth proportional to 5,234.49, 7,223.63 and 2,844.48 is: 3,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.49 : 7,223.63 = 2,844.48 : x
  2. Step 2: Convert to fraction form
    5,234.49/7,223.63 = 2,844.48/x
  3. Step 3: Cross multiply
    5,234.49x = 7,223.63 × 2,844.48
  4. Step 4: Simplify right side
    5,234.49x = 20,547,456.84
  5. Step 5: Solve for x
    x = 20,547,456.84/5,234.49
  6. Step 6: Final answer
    x = 3,925.40

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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.