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Finding the Fourth Proportional to 3,777.18, 5,661.91 and 1,435.74

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Solution

The fourth proportional to 3,777.18, 5,661.91 and 1,435.74 is: 2,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.18 : 5,661.91 = 1,435.74 : x
  2. Step 2: Convert to fraction form
    3,777.18/5,661.91 = 1,435.74/x
  3. Step 3: Cross multiply
    3,777.18x = 5,661.91 × 1,435.74
  4. Step 4: Simplify right side
    3,777.18x = 8,129,030.66
  5. Step 5: Solve for x
    x = 8,129,030.66/3,777.18
  6. Step 6: Final answer
    x = 2,152.14

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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.