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Finding the Fourth Proportional to 3,775.61, 5,663.88 and 1,002.34

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Solution

The fourth proportional to 3,775.61, 5,663.88 and 1,002.34 is: 1,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.61 : 5,663.88 = 1,002.34 : x
  2. Step 2: Convert to fraction form
    3,775.61/5,663.88 = 1,002.34/x
  3. Step 3: Cross multiply
    3,775.61x = 5,663.88 × 1,002.34
  4. Step 4: Simplify right side
    3,775.61x = 5,677,133.48
  5. Step 5: Solve for x
    x = 5,677,133.48/3,775.61
  6. Step 6: Final answer
    x = 1,503.63

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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.