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Finding the Fourth Proportional to 5,058.86, 6,981.05 and 2,933.01

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Solution

The fourth proportional to 5,058.86, 6,981.05 and 2,933.01 is: 4,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.86 : 6,981.05 = 2,933.01 : x
  2. Step 2: Convert to fraction form
    5,058.86/6,981.05 = 2,933.01/x
  3. Step 3: Cross multiply
    5,058.86x = 6,981.05 × 2,933.01
  4. Step 4: Simplify right side
    5,058.86x = 20,475,496.79
  5. Step 5: Solve for x
    x = 20,475,496.79/5,058.86
  6. Step 6: Final answer
    x = 4,047.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.