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Finding the Fourth Proportional to 5,657.13, 7,807.05 and 3,418.56

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Solution

The fourth proportional to 5,657.13, 7,807.05 and 3,418.56 is: 4,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.13 : 7,807.05 = 3,418.56 : x
  2. Step 2: Convert to fraction form
    5,657.13/7,807.05 = 3,418.56/x
  3. Step 3: Cross multiply
    5,657.13x = 7,807.05 × 3,418.56
  4. Step 4: Simplify right side
    5,657.13x = 26,688,868.85
  5. Step 5: Solve for x
    x = 26,688,868.85/5,657.13
  6. Step 6: Final answer
    x = 4,717.74

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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.