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Finding the Fourth Proportional to 4,501.86, 6,748.53 and 1,578.25

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Solution

The fourth proportional to 4,501.86, 6,748.53 and 1,578.25 is: 2,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.86 : 6,748.53 = 1,578.25 : x
  2. Step 2: Convert to fraction form
    4,501.86/6,748.53 = 1,578.25/x
  3. Step 3: Cross multiply
    4,501.86x = 6,748.53 × 1,578.25
  4. Step 4: Simplify right side
    4,501.86x = 10,650,867.47
  5. Step 5: Solve for x
    x = 10,650,867.47/4,501.86
  6. Step 6: Final answer
    x = 2,365.88

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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.