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Finding the Fourth Proportional to 6,043.01, 9,064.51 and 3,849.53

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Solution

The fourth proportional to 6,043.01, 9,064.51 and 3,849.53 is: 5,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.01 : 9,064.51 = 3,849.53 : x
  2. Step 2: Convert to fraction form
    6,043.01/9,064.51 = 3,849.53/x
  3. Step 3: Cross multiply
    6,043.01x = 9,064.51 × 3,849.53
  4. Step 4: Simplify right side
    6,043.01x = 34,894,048.23
  5. Step 5: Solve for x
    x = 34,894,048.23/6,043.01
  6. Step 6: Final answer
    x = 5,774.29

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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.