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Finding the Fourth Proportional to 4,298.52, 6,444.54 and 1,831.26

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Solution

The fourth proportional to 4,298.52, 6,444.54 and 1,831.26 is: 2,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.52 : 6,444.54 = 1,831.26 : x
  2. Step 2: Convert to fraction form
    4,298.52/6,444.54 = 1,831.26/x
  3. Step 3: Cross multiply
    4,298.52x = 6,444.54 × 1,831.26
  4. Step 4: Simplify right side
    4,298.52x = 11,801,628.32
  5. Step 5: Solve for x
    x = 11,801,628.32/4,298.52
  6. Step 6: Final answer
    x = 2,745.51

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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.