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Finding the Fourth Proportional to 5,530.39, 8,295.13 and 1,831.41

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Solution

The fourth proportional to 5,530.39, 8,295.13 and 1,831.41 is: 2,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.39 : 8,295.13 = 1,831.41 : x
  2. Step 2: Convert to fraction form
    5,530.39/8,295.13 = 1,831.41/x
  3. Step 3: Cross multiply
    5,530.39x = 8,295.13 × 1,831.41
  4. Step 4: Simplify right side
    5,530.39x = 15,191,776.02
  5. Step 5: Solve for x
    x = 15,191,776.02/5,530.39
  6. Step 6: Final answer
    x = 2,746.96

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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.