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Finding the Fourth Proportional to 3,564.90, 5,349.65 and 3,294.36

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Solution

The fourth proportional to 3,564.90, 5,349.65 and 3,294.36 is: 4,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.90 : 5,349.65 = 3,294.36 : x
  2. Step 2: Convert to fraction form
    3,564.90/5,349.65 = 3,294.36/x
  3. Step 3: Cross multiply
    3,564.90x = 5,349.65 × 3,294.36
  4. Step 4: Simplify right side
    3,564.90x = 17,623,656.50
  5. Step 5: Solve for x
    x = 17,623,656.50/3,564.90
  6. Step 6: Final answer
    x = 4,943.66

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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.