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Finding the Fourth Proportional to 5,083.84, 7,011.76 and 3,404.68

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Solution

The fourth proportional to 5,083.84, 7,011.76 and 3,404.68 is: 4,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.84 : 7,011.76 = 3,404.68 : x
  2. Step 2: Convert to fraction form
    5,083.84/7,011.76 = 3,404.68/x
  3. Step 3: Cross multiply
    5,083.84x = 7,011.76 × 3,404.68
  4. Step 4: Simplify right side
    5,083.84x = 23,872,799.04
  5. Step 5: Solve for x
    x = 23,872,799.04/5,083.84
  6. Step 6: Final answer
    x = 4,695.82

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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.