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Finding the Fourth Proportional to 4,901.72, 6,764.30 and 2,663.58

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Solution

The fourth proportional to 4,901.72, 6,764.30 and 2,663.58 is: 3,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.72 : 6,764.30 = 2,663.58 : x
  2. Step 2: Convert to fraction form
    4,901.72/6,764.30 = 2,663.58/x
  3. Step 3: Cross multiply
    4,901.72x = 6,764.30 × 2,663.58
  4. Step 4: Simplify right side
    4,901.72x = 18,017,254.19
  5. Step 5: Solve for x
    x = 18,017,254.19/4,901.72
  6. Step 6: Final answer
    x = 3,675.70

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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.