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Finding the Fourth Proportional to 5,125.64, 7,070.85 and 3,211.11

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Solution

The fourth proportional to 5,125.64, 7,070.85 and 3,211.11 is: 4,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.64 : 7,070.85 = 3,211.11 : x
  2. Step 2: Convert to fraction form
    5,125.64/7,070.85 = 3,211.11/x
  3. Step 3: Cross multiply
    5,125.64x = 7,070.85 × 3,211.11
  4. Step 4: Simplify right side
    5,125.64x = 22,705,277.14
  5. Step 5: Solve for x
    x = 22,705,277.14/5,125.64
  6. Step 6: Final answer
    x = 4,429.75

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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.