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Finding the Fourth Proportional to 4,541.39, 6,809.52 and 1,578.47

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Solution

The fourth proportional to 4,541.39, 6,809.52 and 1,578.47 is: 2,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.39 : 6,809.52 = 1,578.47 : x
  2. Step 2: Convert to fraction form
    4,541.39/6,809.52 = 1,578.47/x
  3. Step 3: Cross multiply
    4,541.39x = 6,809.52 × 1,578.47
  4. Step 4: Simplify right side
    4,541.39x = 10,748,623.03
  5. Step 5: Solve for x
    x = 10,748,623.03/4,541.39
  6. Step 6: Final answer
    x = 2,366.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.