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Finding the Fourth Proportional to 3,774.48, 5,661.71 and 1,583.21

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Solution

The fourth proportional to 3,774.48, 5,661.71 and 1,583.21 is: 2,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.48 : 5,661.71 = 1,583.21 : x
  2. Step 2: Convert to fraction form
    3,774.48/5,661.71 = 1,583.21/x
  3. Step 3: Cross multiply
    3,774.48x = 5,661.71 × 1,583.21
  4. Step 4: Simplify right side
    3,774.48x = 8,963,639.66
  5. Step 5: Solve for x
    x = 8,963,639.66/3,774.48
  6. Step 6: Final answer
    x = 2,374.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.