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Finding the Fourth Proportional to 3,695.42, 5,098.77 and 2,259.42

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Solution

The fourth proportional to 3,695.42, 5,098.77 and 2,259.42 is: 3,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.42 : 5,098.77 = 2,259.42 : x
  2. Step 2: Convert to fraction form
    3,695.42/5,098.77 = 2,259.42/x
  3. Step 3: Cross multiply
    3,695.42x = 5,098.77 × 2,259.42
  4. Step 4: Simplify right side
    3,695.42x = 11,520,262.91
  5. Step 5: Solve for x
    x = 11,520,262.91/3,695.42
  6. Step 6: Final answer
    x = 3,117.44

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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.