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Finding the Fourth Proportional to 3,925.76, 5,889.51 and 1,328.63

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Solution

The fourth proportional to 3,925.76, 5,889.51 and 1,328.63 is: 1,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.76 : 5,889.51 = 1,328.63 : x
  2. Step 2: Convert to fraction form
    3,925.76/5,889.51 = 1,328.63/x
  3. Step 3: Cross multiply
    3,925.76x = 5,889.51 × 1,328.63
  4. Step 4: Simplify right side
    3,925.76x = 7,824,950.22
  5. Step 5: Solve for x
    x = 7,824,950.22/3,925.76
  6. Step 6: Final answer
    x = 1,993.23

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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.