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Finding the Fourth Proportional to 5,738.72, 8,606.95 and 1,577.66

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Solution

The fourth proportional to 5,738.72, 8,606.95 and 1,577.66 is: 2,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.72 : 8,606.95 = 1,577.66 : x
  2. Step 2: Convert to fraction form
    5,738.72/8,606.95 = 1,577.66/x
  3. Step 3: Cross multiply
    5,738.72x = 8,606.95 × 1,577.66
  4. Step 4: Simplify right side
    5,738.72x = 13,578,793.76
  5. Step 5: Solve for x
    x = 13,578,793.76/5,738.72
  6. Step 6: Final answer
    x = 2,366.17

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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.