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Finding the Fourth Proportional to 4,901.77, 6,764.34 and 2,663.56

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Solution

The fourth proportional to 4,901.77, 6,764.34 and 2,663.56 is: 3,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.77 : 6,764.34 = 2,663.56 : x
  2. Step 2: Convert to fraction form
    4,901.77/6,764.34 = 2,663.56/x
  3. Step 3: Cross multiply
    4,901.77x = 6,764.34 × 2,663.56
  4. Step 4: Simplify right side
    4,901.77x = 18,017,225.45
  5. Step 5: Solve for x
    x = 18,017,225.45/4,901.77
  6. Step 6: Final answer
    x = 3,675.66

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