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Finding the Fourth Proportional to 3,417.97, 4,716.74 and 1,925.85

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Solution

The fourth proportional to 3,417.97, 4,716.74 and 1,925.85 is: 2,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.97 : 4,716.74 = 1,925.85 : x
  2. Step 2: Convert to fraction form
    3,417.97/4,716.74 = 1,925.85/x
  3. Step 3: Cross multiply
    3,417.97x = 4,716.74 × 1,925.85
  4. Step 4: Simplify right side
    3,417.97x = 9,083,724.10
  5. Step 5: Solve for x
    x = 9,083,724.10/3,417.97
  6. Step 6: Final answer
    x = 2,657.64

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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.