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Finding the Fourth Proportional to 3,311.83, 4,968.52 and 971.88

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Solution

The fourth proportional to 3,311.83, 4,968.52 and 971.88 is: 1,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.83 : 4,968.52 = 971.88 : x
  2. Step 2: Convert to fraction form
    3,311.83/4,968.52 = 971.88/x
  3. Step 3: Cross multiply
    3,311.83x = 4,968.52 × 971.88
  4. Step 4: Simplify right side
    3,311.83x = 4,828,805.22
  5. Step 5: Solve for x
    x = 4,828,805.22/3,311.83
  6. Step 6: Final answer
    x = 1,458.05

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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.