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Finding the Fourth Proportional to 3,842.04, 5,737.05 and 3,370.02

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Solution

The fourth proportional to 3,842.04, 5,737.05 and 3,370.02 is: 5,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.04 : 5,737.05 = 3,370.02 : x
  2. Step 2: Convert to fraction form
    3,842.04/5,737.05 = 3,370.02/x
  3. Step 3: Cross multiply
    3,842.04x = 5,737.05 × 3,370.02
  4. Step 4: Simplify right side
    3,842.04x = 19,333,973.24
  5. Step 5: Solve for x
    x = 19,333,973.24/3,842.04
  6. Step 6: Final answer
    x = 5,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.