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Finding the Fourth Proportional to 3,255.71, 4,495.46 and 3,006.93

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Solution

The fourth proportional to 3,255.71, 4,495.46 and 3,006.93 is: 4,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.71 : 4,495.46 = 3,006.93 : x
  2. Step 2: Convert to fraction form
    3,255.71/4,495.46 = 3,006.93/x
  3. Step 3: Cross multiply
    3,255.71x = 4,495.46 × 3,006.93
  4. Step 4: Simplify right side
    3,255.71x = 13,517,518.50
  5. Step 5: Solve for x
    x = 13,517,518.50/3,255.71
  6. Step 6: Final answer
    x = 4,151.94

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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.