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Finding the Fourth Proportional to 3,831.52, 5,746.23 and 1,057.54

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Solution

The fourth proportional to 3,831.52, 5,746.23 and 1,057.54 is: 1,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.52 : 5,746.23 = 1,057.54 : x
  2. Step 2: Convert to fraction form
    3,831.52/5,746.23 = 1,057.54/x
  3. Step 3: Cross multiply
    3,831.52x = 5,746.23 × 1,057.54
  4. Step 4: Simplify right side
    3,831.52x = 6,076,868.07
  5. Step 5: Solve for x
    x = 6,076,868.07/3,831.52
  6. Step 6: Final answer
    x = 1,586.02

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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.