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Finding the Fourth Proportional to 3,630.74, 5,445.45 and 962.35

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Solution

The fourth proportional to 3,630.74, 5,445.45 and 962.35 is: 1,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.74 : 5,445.45 = 962.35 : x
  2. Step 2: Convert to fraction form
    3,630.74/5,445.45 = 962.35/x
  3. Step 3: Cross multiply
    3,630.74x = 5,445.45 × 962.35
  4. Step 4: Simplify right side
    3,630.74x = 5,240,401.58
  5. Step 5: Solve for x
    x = 5,240,401.58/3,630.74
  6. Step 6: Final answer
    x = 1,443.34

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