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Finding the Fourth Proportional to 5,656.41, 7,806.05 and 3,417.85

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Solution

The fourth proportional to 5,656.41, 7,806.05 and 3,417.85 is: 4,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.41 : 7,806.05 = 3,417.85 : x
  2. Step 2: Convert to fraction form
    5,656.41/7,806.05 = 3,417.85/x
  3. Step 3: Cross multiply
    5,656.41x = 7,806.05 × 3,417.85
  4. Step 4: Simplify right side
    5,656.41x = 26,679,907.99
  5. Step 5: Solve for x
    x = 26,679,907.99/5,656.41
  6. Step 6: Final answer
    x = 4,716.76

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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.