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Finding the Fourth Proportional to 5,695.86, 7,857.13 and 3,337.55

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Solution

The fourth proportional to 5,695.86, 7,857.13 and 3,337.55 is: 4,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.86 : 7,857.13 = 3,337.55 : x
  2. Step 2: Convert to fraction form
    5,695.86/7,857.13 = 3,337.55/x
  3. Step 3: Cross multiply
    5,695.86x = 7,857.13 × 3,337.55
  4. Step 4: Simplify right side
    5,695.86x = 26,223,564.23
  5. Step 5: Solve for x
    x = 26,223,564.23/5,695.86
  6. Step 6: Final answer
    x = 4,603.97

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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.