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Finding the Fourth Proportional to 5,490.29, 7,574.69 and 3,811.25

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Solution

The fourth proportional to 5,490.29, 7,574.69 and 3,811.25 is: 5,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.29 : 7,574.69 = 3,811.25 : x
  2. Step 2: Convert to fraction form
    5,490.29/7,574.69 = 3,811.25/x
  3. Step 3: Cross multiply
    5,490.29x = 7,574.69 × 3,811.25
  4. Step 4: Simplify right side
    5,490.29x = 28,869,018.21
  5. Step 5: Solve for x
    x = 28,869,018.21/5,490.29
  6. Step 6: Final answer
    x = 5,258.20

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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.