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Finding the Fourth Proportional to 3,283.66, 4,925.46 and 2,317.72

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Solution

The fourth proportional to 3,283.66, 4,925.46 and 2,317.72 is: 3,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.66 : 4,925.46 = 2,317.72 : x
  2. Step 2: Convert to fraction form
    3,283.66/4,925.46 = 2,317.72/x
  3. Step 3: Cross multiply
    3,283.66x = 4,925.46 × 2,317.72
  4. Step 4: Simplify right side
    3,283.66x = 11,415,837.15
  5. Step 5: Solve for x
    x = 11,415,837.15/3,283.66
  6. Step 6: Final answer
    x = 3,476.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.