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Finding the Fourth Proportional to 3,501.54, 4,831.92 and 2,009.34

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Solution

The fourth proportional to 3,501.54, 4,831.92 and 2,009.34 is: 2,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.54 : 4,831.92 = 2,009.34 : x
  2. Step 2: Convert to fraction form
    3,501.54/4,831.92 = 2,009.34/x
  3. Step 3: Cross multiply
    3,501.54x = 4,831.92 × 2,009.34
  4. Step 4: Simplify right side
    3,501.54x = 9,708,970.13
  5. Step 5: Solve for x
    x = 9,708,970.13/3,501.54
  6. Step 6: Final answer
    x = 2,772.77

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