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Finding the Fourth Proportional to 4,517.69, 6,776.34 and 1,595.93

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Solution

The fourth proportional to 4,517.69, 6,776.34 and 1,595.93 is: 2,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.69 : 6,776.34 = 1,595.93 : x
  2. Step 2: Convert to fraction form
    4,517.69/6,776.34 = 1,595.93/x
  3. Step 3: Cross multiply
    4,517.69x = 6,776.34 × 1,595.93
  4. Step 4: Simplify right side
    4,517.69x = 10,814,530.41
  5. Step 5: Solve for x
    x = 10,814,530.41/4,517.69
  6. Step 6: Final answer
    x = 2,393.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.