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Finding the Fourth Proportional to 5,656.61, 7,806.35 and 3,418.05

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Solution

The fourth proportional to 5,656.61, 7,806.35 and 3,418.05 is: 4,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.61 : 7,806.35 = 3,418.05 : x
  2. Step 2: Convert to fraction form
    5,656.61/7,806.35 = 3,418.05/x
  3. Step 3: Cross multiply
    5,656.61x = 7,806.35 × 3,418.05
  4. Step 4: Simplify right side
    5,656.61x = 26,682,478.91
  5. Step 5: Solve for x
    x = 26,682,478.91/5,656.61
  6. Step 6: Final answer
    x = 4,717.04

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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.