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Finding the Fourth Proportional to 5,307.09, 7,323.62 and 3,069.06

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Solution

The fourth proportional to 5,307.09, 7,323.62 and 3,069.06 is: 4,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.09 : 7,323.62 = 3,069.06 : x
  2. Step 2: Convert to fraction form
    5,307.09/7,323.62 = 3,069.06/x
  3. Step 3: Cross multiply
    5,307.09x = 7,323.62 × 3,069.06
  4. Step 4: Simplify right side
    5,307.09x = 22,476,586.39
  5. Step 5: Solve for x
    x = 22,476,586.39/5,307.09
  6. Step 6: Final answer
    x = 4,235.20

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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.