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Finding the Fourth Proportional to 3,152.90, 4,729.35 and 3,131.30

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Solution

The fourth proportional to 3,152.90, 4,729.35 and 3,131.30 is: 4,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.90 : 4,729.35 = 3,131.30 : x
  2. Step 2: Convert to fraction form
    3,152.90/4,729.35 = 3,131.30/x
  3. Step 3: Cross multiply
    3,152.90x = 4,729.35 × 3,131.30
  4. Step 4: Simplify right side
    3,152.90x = 14,809,013.66
  5. Step 5: Solve for x
    x = 14,809,013.66/3,152.90
  6. Step 6: Final answer
    x = 4,696.95

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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.