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Finding the Fourth Proportional to 3,889.40, 5,831.18 and 1,835

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Solution

The fourth proportional to 3,889.40, 5,831.18 and 1,835 is: 2,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.40 : 5,831.18 = 1,835 : x
  2. Step 2: Convert to fraction form
    3,889.40/5,831.18 = 1,835/x
  3. Step 3: Cross multiply
    3,889.40x = 5,831.18 × 1,835
  4. Step 4: Simplify right side
    3,889.40x = 10,700,215.30
  5. Step 5: Solve for x
    x = 10,700,215.30/3,889.40
  6. Step 6: Final answer
    x = 2,751.12

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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.