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Finding the Fourth Proportional to 5,671.49, 7,827.93 and 3,154.48

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Solution

The fourth proportional to 5,671.49, 7,827.93 and 3,154.48 is: 4,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.49 : 7,827.93 = 3,154.48 : x
  2. Step 2: Convert to fraction form
    5,671.49/7,827.93 = 3,154.48/x
  3. Step 3: Cross multiply
    5,671.49x = 7,827.93 × 3,154.48
  4. Step 4: Simplify right side
    5,671.49x = 24,693,029.06
  5. Step 5: Solve for x
    x = 24,693,029.06/5,671.49
  6. Step 6: Final answer
    x = 4,353.89

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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.