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Finding the Fourth Proportional to 3,735.86, 5,602.47 and 1,102.66

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Solution

The fourth proportional to 3,735.86, 5,602.47 and 1,102.66 is: 1,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.86 : 5,602.47 = 1,102.66 : x
  2. Step 2: Convert to fraction form
    3,735.86/5,602.47 = 1,102.66/x
  3. Step 3: Cross multiply
    3,735.86x = 5,602.47 × 1,102.66
  4. Step 4: Simplify right side
    3,735.86x = 6,177,615.74
  5. Step 5: Solve for x
    x = 6,177,615.74/3,735.86
  6. Step 6: Final answer
    x = 1,653.60

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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.