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Finding the Fourth Proportional to 4,831.80, 7,250.10 and 1,910.20

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Solution

The fourth proportional to 4,831.80, 7,250.10 and 1,910.20 is: 2,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.80 : 7,250.10 = 1,910.20 : x
  2. Step 2: Convert to fraction form
    4,831.80/7,250.10 = 1,910.20/x
  3. Step 3: Cross multiply
    4,831.80x = 7,250.10 × 1,910.20
  4. Step 4: Simplify right side
    4,831.80x = 13,849,141.02
  5. Step 5: Solve for x
    x = 13,849,141.02/4,831.80
  6. Step 6: Final answer
    x = 2,866.25

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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.