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Finding the Fourth Proportional to 5,604.60, 8,407.95 and 2,831.40

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Solution

The fourth proportional to 5,604.60, 8,407.95 and 2,831.40 is: 4,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.60 : 8,407.95 = 2,831.40 : x
  2. Step 2: Convert to fraction form
    5,604.60/8,407.95 = 2,831.40/x
  3. Step 3: Cross multiply
    5,604.60x = 8,407.95 × 2,831.40
  4. Step 4: Simplify right side
    5,604.60x = 23,806,269.63
  5. Step 5: Solve for x
    x = 23,806,269.63/5,604.60
  6. Step 6: Final answer
    x = 4,247.63

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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.