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Finding the Fourth Proportional to 4,048.39, 6,070.50 and 1,855.24

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Solution

The fourth proportional to 4,048.39, 6,070.50 and 1,855.24 is: 2,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.39 : 6,070.50 = 1,855.24 : x
  2. Step 2: Convert to fraction form
    4,048.39/6,070.50 = 1,855.24/x
  3. Step 3: Cross multiply
    4,048.39x = 6,070.50 × 1,855.24
  4. Step 4: Simplify right side
    4,048.39x = 11,262,234.42
  5. Step 5: Solve for x
    x = 11,262,234.42/4,048.39
  6. Step 6: Final answer
    x = 2,781.90

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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.