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Finding the Fourth Proportional to 6,545.07, 9,817.56 and 2,597.54

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Solution

The fourth proportional to 6,545.07, 9,817.56 and 2,597.54 is: 3,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.07 : 9,817.56 = 2,597.54 : x
  2. Step 2: Convert to fraction form
    6,545.07/9,817.56 = 2,597.54/x
  3. Step 3: Cross multiply
    6,545.07x = 9,817.56 × 2,597.54
  4. Step 4: Simplify right side
    6,545.07x = 25,501,455.71
  5. Step 5: Solve for x
    x = 25,501,455.71/6,545.07
  6. Step 6: Final answer
    x = 3,896.28

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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.