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Finding the Fourth Proportional to 3,794.87, 5,686.05 and 2,330.93

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Solution

The fourth proportional to 3,794.87, 5,686.05 and 2,330.93 is: 3,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.87 : 5,686.05 = 2,330.93 : x
  2. Step 2: Convert to fraction form
    3,794.87/5,686.05 = 2,330.93/x
  3. Step 3: Cross multiply
    3,794.87x = 5,686.05 × 2,330.93
  4. Step 4: Simplify right side
    3,794.87x = 13,253,784.53
  5. Step 5: Solve for x
    x = 13,253,784.53/3,794.87
  6. Step 6: Final answer
    x = 3,492.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.