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Finding the Fourth Proportional to 3,870.39, 5,805.64 and 1,529.39

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Solution

The fourth proportional to 3,870.39, 5,805.64 and 1,529.39 is: 2,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.39 : 5,805.64 = 1,529.39 : x
  2. Step 2: Convert to fraction form
    3,870.39/5,805.64 = 1,529.39/x
  3. Step 3: Cross multiply
    3,870.39x = 5,805.64 × 1,529.39
  4. Step 4: Simplify right side
    3,870.39x = 8,879,104.19
  5. Step 5: Solve for x
    x = 8,879,104.19/3,870.39
  6. Step 6: Final answer
    x = 2,294.11

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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.