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Finding the Fourth Proportional to 4,614.06, 6,916.50 and 1,691.58

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Solution

The fourth proportional to 4,614.06, 6,916.50 and 1,691.58 is: 2,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.06 : 6,916.50 = 1,691.58 : x
  2. Step 2: Convert to fraction form
    4,614.06/6,916.50 = 1,691.58/x
  3. Step 3: Cross multiply
    4,614.06x = 6,916.50 × 1,691.58
  4. Step 4: Simplify right side
    4,614.06x = 11,699,813.07
  5. Step 5: Solve for x
    x = 11,699,813.07/4,614.06
  6. Step 6: Final answer
    x = 2,535.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.