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Finding the Fourth Proportional to 4,696.51, 6,472.27 and 3,437.96

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Solution

The fourth proportional to 4,696.51, 6,472.27 and 3,437.96 is: 4,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.51 : 6,472.27 = 3,437.96 : x
  2. Step 2: Convert to fraction form
    4,696.51/6,472.27 = 3,437.96/x
  3. Step 3: Cross multiply
    4,696.51x = 6,472.27 × 3,437.96
  4. Step 4: Simplify right side
    4,696.51x = 22,251,412.58
  5. Step 5: Solve for x
    x = 22,251,412.58/4,696.51
  6. Step 6: Final answer
    x = 4,737.86

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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.