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Finding the Fourth Proportional to 3,735.66, 5,602.18 and 1,102.46

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Solution

The fourth proportional to 3,735.66, 5,602.18 and 1,102.46 is: 1,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.66 : 5,602.18 = 1,102.46 : x
  2. Step 2: Convert to fraction form
    3,735.66/5,602.18 = 1,102.46/x
  3. Step 3: Cross multiply
    3,735.66x = 5,602.18 × 1,102.46
  4. Step 4: Simplify right side
    3,735.66x = 6,176,190.61
  5. Step 5: Solve for x
    x = 6,176,190.61/3,735.66
  6. Step 6: Final answer
    x = 1,653.31

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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.