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Finding the Fourth Proportional to 3,569.90, 5,349.45 and 3,019.10

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Solution

The fourth proportional to 3,569.90, 5,349.45 and 3,019.10 is: 4,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.90 : 5,349.45 = 3,019.10 : x
  2. Step 2: Convert to fraction form
    3,569.90/5,349.45 = 3,019.10/x
  3. Step 3: Cross multiply
    3,569.90x = 5,349.45 × 3,019.10
  4. Step 4: Simplify right side
    3,569.90x = 16,150,524.50
  5. Step 5: Solve for x
    x = 16,150,524.50/3,569.90
  6. Step 6: Final answer
    x = 4,524.08

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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.