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Finding the Fourth Proportional to 5,252.62, 7,874.40 and 2,477.35

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Solution

The fourth proportional to 5,252.62, 7,874.40 and 2,477.35 is: 3,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.62 : 7,874.40 = 2,477.35 : x
  2. Step 2: Convert to fraction form
    5,252.62/7,874.40 = 2,477.35/x
  3. Step 3: Cross multiply
    5,252.62x = 7,874.40 × 2,477.35
  4. Step 4: Simplify right side
    5,252.62x = 19,507,644.84
  5. Step 5: Solve for x
    x = 19,507,644.84/5,252.62
  6. Step 6: Final answer
    x = 3,713.89

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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.