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Finding the Fourth Proportional to 4,603.92, 6,337.84 and 4,160.44

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Solution

The fourth proportional to 4,603.92, 6,337.84 and 4,160.44 is: 5,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.92 : 6,337.84 = 4,160.44 : x
  2. Step 2: Convert to fraction form
    4,603.92/6,337.84 = 4,160.44/x
  3. Step 3: Cross multiply
    4,603.92x = 6,337.84 × 4,160.44
  4. Step 4: Simplify right side
    4,603.92x = 26,368,203.05
  5. Step 5: Solve for x
    x = 26,368,203.05/4,603.92
  6. Step 6: Final answer
    x = 5,727.34

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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.