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Finding the Fourth Proportional to 5,019.56, 7,528.74 and 1,322.07

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Solution

The fourth proportional to 5,019.56, 7,528.74 and 1,322.07 is: 1,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.56 : 7,528.74 = 1,322.07 : x
  2. Step 2: Convert to fraction form
    5,019.56/7,528.74 = 1,322.07/x
  3. Step 3: Cross multiply
    5,019.56x = 7,528.74 × 1,322.07
  4. Step 4: Simplify right side
    5,019.56x = 9,953,521.29
  5. Step 5: Solve for x
    x = 9,953,521.29/5,019.56
  6. Step 6: Final answer
    x = 1,982.95

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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.