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Finding the Fourth Proportional to 3,661.61, 5,497.27 and 1,931.45

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Solution

The fourth proportional to 3,661.61, 5,497.27 and 1,931.45 is: 2,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.61 : 5,497.27 = 1,931.45 : x
  2. Step 2: Convert to fraction form
    3,661.61/5,497.27 = 1,931.45/x
  3. Step 3: Cross multiply
    3,661.61x = 5,497.27 × 1,931.45
  4. Step 4: Simplify right side
    3,661.61x = 10,617,669.83
  5. Step 5: Solve for x
    x = 10,617,669.83/3,661.61
  6. Step 6: Final answer
    x = 2,899.73

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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.