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Finding the Fourth Proportional to 3,695.18, 5,097.58 and 2,855

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Solution

The fourth proportional to 3,695.18, 5,097.58 and 2,855 is: 3,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.18 : 5,097.58 = 2,855 : x
  2. Step 2: Convert to fraction form
    3,695.18/5,097.58 = 2,855/x
  3. Step 3: Cross multiply
    3,695.18x = 5,097.58 × 2,855
  4. Step 4: Simplify right side
    3,695.18x = 14,553,590.90
  5. Step 5: Solve for x
    x = 14,553,590.90/3,695.18
  6. Step 6: Final answer
    x = 3,938.53

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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.