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Finding the Fourth Proportional to 5,522.98, 8,284.52 and 1,574.24

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Solution

The fourth proportional to 5,522.98, 8,284.52 and 1,574.24 is: 2,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.98 : 8,284.52 = 1,574.24 : x
  2. Step 2: Convert to fraction form
    5,522.98/8,284.52 = 1,574.24/x
  3. Step 3: Cross multiply
    5,522.98x = 8,284.52 × 1,574.24
  4. Step 4: Simplify right side
    5,522.98x = 13,041,781.34
  5. Step 5: Solve for x
    x = 13,041,781.34/5,522.98
  6. Step 6: Final answer
    x = 2,361.37

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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.