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Finding the Fourth Proportional to 3,761.06, 5,641.62 and 1,420.45

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Solution

The fourth proportional to 3,761.06, 5,641.62 and 1,420.45 is: 2,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.06 : 5,641.62 = 1,420.45 : x
  2. Step 2: Convert to fraction form
    3,761.06/5,641.62 = 1,420.45/x
  3. Step 3: Cross multiply
    3,761.06x = 5,641.62 × 1,420.45
  4. Step 4: Simplify right side
    3,761.06x = 8,013,639.13
  5. Step 5: Solve for x
    x = 8,013,639.13/3,761.06
  6. Step 6: Final answer
    x = 2,130.69

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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.