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Finding the Fourth Proportional to 3,500.47, 4,831.36 and 2,009.41

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Solution

The fourth proportional to 3,500.47, 4,831.36 and 2,009.41 is: 2,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.47 : 4,831.36 = 2,009.41 : x
  2. Step 2: Convert to fraction form
    3,500.47/4,831.36 = 2,009.41/x
  3. Step 3: Cross multiply
    3,500.47x = 4,831.36 × 2,009.41
  4. Step 4: Simplify right side
    3,500.47x = 9,708,184.11
  5. Step 5: Solve for x
    x = 9,708,184.11/3,500.47
  6. Step 6: Final answer
    x = 2,773.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.