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Finding the Fourth Proportional to 3,802.95, 5,703.33 and 1,462.77

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Solution

The fourth proportional to 3,802.95, 5,703.33 and 1,462.77 is: 2,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.95 : 5,703.33 = 1,462.77 : x
  2. Step 2: Convert to fraction form
    3,802.95/5,703.33 = 1,462.77/x
  3. Step 3: Cross multiply
    3,802.95x = 5,703.33 × 1,462.77
  4. Step 4: Simplify right side
    3,802.95x = 8,342,660.02
  5. Step 5: Solve for x
    x = 8,342,660.02/3,802.95
  6. Step 6: Final answer
    x = 2,193.73

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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.