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Finding the Fourth Proportional to 3,430.95, 4,737.15 and 2,105.08

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Solution

The fourth proportional to 3,430.95, 4,737.15 and 2,105.08 is: 2,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.95 : 4,737.15 = 2,105.08 : x
  2. Step 2: Convert to fraction form
    3,430.95/4,737.15 = 2,105.08/x
  3. Step 3: Cross multiply
    3,430.95x = 4,737.15 × 2,105.08
  4. Step 4: Simplify right side
    3,430.95x = 9,972,079.72
  5. Step 5: Solve for x
    x = 9,972,079.72/3,430.95
  6. Step 6: Final answer
    x = 2,906.51

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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.