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Finding the Fourth Proportional to 5,547, 7,654.92 and 3,189.24

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Solution

The fourth proportional to 5,547, 7,654.92 and 3,189.24 is: 4,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547 : 7,654.92 = 3,189.24 : x
  2. Step 2: Convert to fraction form
    5,547/7,654.92 = 3,189.24/x
  3. Step 3: Cross multiply
    5,547x = 7,654.92 × 3,189.24
  4. Step 4: Simplify right side
    5,547x = 24,413,377.06
  5. Step 5: Solve for x
    x = 24,413,377.06/5,547
  6. Step 6: Final answer
    x = 4,401.19

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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.