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Finding the Fourth Proportional to 3,297.06, 4,545.14 and 2,509.74

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Solution

The fourth proportional to 3,297.06, 4,545.14 and 2,509.74 is: 3,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.06 : 4,545.14 = 2,509.74 : x
  2. Step 2: Convert to fraction form
    3,297.06/4,545.14 = 2,509.74/x
  3. Step 3: Cross multiply
    3,297.06x = 4,545.14 × 2,509.74
  4. Step 4: Simplify right side
    3,297.06x = 11,407,107.11
  5. Step 5: Solve for x
    x = 11,407,107.11/3,297.06
  6. Step 6: Final answer
    x = 3,459.78

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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.