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Finding the Fourth Proportional to 5,307.05, 7,323.80 and 3,211.17

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Solution

The fourth proportional to 5,307.05, 7,323.80 and 3,211.17 is: 4,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.05 : 7,323.80 = 3,211.17 : x
  2. Step 2: Convert to fraction form
    5,307.05/7,323.80 = 3,211.17/x
  3. Step 3: Cross multiply
    5,307.05x = 7,323.80 × 3,211.17
  4. Step 4: Simplify right side
    5,307.05x = 23,517,950.79
  5. Step 5: Solve for x
    x = 23,517,950.79/5,307.05
  6. Step 6: Final answer
    x = 4,431.46

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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.