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Finding the Fourth Proportional to 5,730.59, 7,907.54 and 3,212.55

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Solution

The fourth proportional to 5,730.59, 7,907.54 and 3,212.55 is: 4,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.59 : 7,907.54 = 3,212.55 : x
  2. Step 2: Convert to fraction form
    5,730.59/7,907.54 = 3,212.55/x
  3. Step 3: Cross multiply
    5,730.59x = 7,907.54 × 3,212.55
  4. Step 4: Simplify right side
    5,730.59x = 25,403,351.56
  5. Step 5: Solve for x
    x = 25,403,351.56/5,730.59
  6. Step 6: Final answer
    x = 4,432.94

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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.