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Finding the Fourth Proportional to 3,595.71, 5,386.64 and 2,769.95

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Solution

The fourth proportional to 3,595.71, 5,386.64 and 2,769.95 is: 4,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.71 : 5,386.64 = 2,769.95 : x
  2. Step 2: Convert to fraction form
    3,595.71/5,386.64 = 2,769.95/x
  3. Step 3: Cross multiply
    3,595.71x = 5,386.64 × 2,769.95
  4. Step 4: Simplify right side
    3,595.71x = 14,920,723.47
  5. Step 5: Solve for x
    x = 14,920,723.47/3,595.71
  6. Step 6: Final answer
    x = 4,149.59

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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.