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Finding the Fourth Proportional to 3,904.50, 5,855.34 and 1,565.04

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Solution

The fourth proportional to 3,904.50, 5,855.34 and 1,565.04 is: 2,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.50 : 5,855.34 = 1,565.04 : x
  2. Step 2: Convert to fraction form
    3,904.50/5,855.34 = 1,565.04/x
  3. Step 3: Cross multiply
    3,904.50x = 5,855.34 × 1,565.04
  4. Step 4: Simplify right side
    3,904.50x = 9,163,841.31
  5. Step 5: Solve for x
    x = 9,163,841.31/3,904.50
  6. Step 6: Final answer
    x = 2,346.99

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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.