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Finding the Fourth Proportional to 3,466.84, 5,200.14 and 1,001.56

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Solution

The fourth proportional to 3,466.84, 5,200.14 and 1,001.56 is: 1,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.84 : 5,200.14 = 1,001.56 : x
  2. Step 2: Convert to fraction form
    3,466.84/5,200.14 = 1,001.56/x
  3. Step 3: Cross multiply
    3,466.84x = 5,200.14 × 1,001.56
  4. Step 4: Simplify right side
    3,466.84x = 5,208,252.22
  5. Step 5: Solve for x
    x = 5,208,252.22/3,466.84
  6. Step 6: Final answer
    x = 1,502.31

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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.