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Finding the Fourth Proportional to 6,058.34, 9,091.02 and 3,463.10

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Solution

The fourth proportional to 6,058.34, 9,091.02 and 3,463.10 is: 5,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.34 : 9,091.02 = 3,463.10 : x
  2. Step 2: Convert to fraction form
    6,058.34/9,091.02 = 3,463.10/x
  3. Step 3: Cross multiply
    6,058.34x = 9,091.02 × 3,463.10
  4. Step 4: Simplify right side
    6,058.34x = 31,483,111.36
  5. Step 5: Solve for x
    x = 31,483,111.36/6,058.34
  6. Step 6: Final answer
    x = 5,196.66

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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.