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Finding the Fourth Proportional to 4,605.38, 6,910.34 and 1,831.98

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Solution

The fourth proportional to 4,605.38, 6,910.34 and 1,831.98 is: 2,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.38 : 6,910.34 = 1,831.98 : x
  2. Step 2: Convert to fraction form
    4,605.38/6,910.34 = 1,831.98/x
  3. Step 3: Cross multiply
    4,605.38x = 6,910.34 × 1,831.98
  4. Step 4: Simplify right side
    4,605.38x = 12,659,595.51
  5. Step 5: Solve for x
    x = 12,659,595.51/4,605.38
  6. Step 6: Final answer
    x = 2,748.87

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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.