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Finding the Fourth Proportional to 3,752.94, 5,602.60 and 3,261

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Solution

The fourth proportional to 3,752.94, 5,602.60 and 3,261 is: 4,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.94 : 5,602.60 = 3,261 : x
  2. Step 2: Convert to fraction form
    3,752.94/5,602.60 = 3,261/x
  3. Step 3: Cross multiply
    3,752.94x = 5,602.60 × 3,261
  4. Step 4: Simplify right side
    3,752.94x = 18,270,078.60
  5. Step 5: Solve for x
    x = 18,270,078.60/3,752.94
  6. Step 6: Final answer
    x = 4,868.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.