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Finding the Fourth Proportional to 3,367.80, 4,647.02 and 1,875.38

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Solution

The fourth proportional to 3,367.80, 4,647.02 and 1,875.38 is: 2,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.80 : 4,647.02 = 1,875.38 : x
  2. Step 2: Convert to fraction form
    3,367.80/4,647.02 = 1,875.38/x
  3. Step 3: Cross multiply
    3,367.80x = 4,647.02 × 1,875.38
  4. Step 4: Simplify right side
    3,367.80x = 8,714,895.76
  5. Step 5: Solve for x
    x = 8,714,895.76/3,367.80
  6. Step 6: Final answer
    x = 2,587.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.