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Finding the Fourth Proportional to 5,707.62, 7,876.52 and 3,223.62

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Solution

The fourth proportional to 5,707.62, 7,876.52 and 3,223.62 is: 4,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.62 : 7,876.52 = 3,223.62 : x
  2. Step 2: Convert to fraction form
    5,707.62/7,876.52 = 3,223.62/x
  3. Step 3: Cross multiply
    5,707.62x = 7,876.52 × 3,223.62
  4. Step 4: Simplify right side
    5,707.62x = 25,390,907.40
  5. Step 5: Solve for x
    x = 25,390,907.40/5,707.62
  6. Step 6: Final answer
    x = 4,448.60

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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.