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Finding the Fourth Proportional to 4,536, 6,260.22 and 2,967.57

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Solution

The fourth proportional to 4,536, 6,260.22 and 2,967.57 is: 4,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 6,260.22 = 2,967.57 : x
  2. Step 2: Convert to fraction form
    4,536/6,260.22 = 2,967.57/x
  3. Step 3: Cross multiply
    4,536x = 6,260.22 × 2,967.57
  4. Step 4: Simplify right side
    4,536x = 18,577,641.07
  5. Step 5: Solve for x
    x = 18,577,641.07/4,536
  6. Step 6: Final answer
    x = 4,095.60

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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.