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Finding the Fourth Proportional to 3,762.50, 5,637.66 and 2,297.20

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Solution

The fourth proportional to 3,762.50, 5,637.66 and 2,297.20 is: 3,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.50 : 5,637.66 = 2,297.20 : x
  2. Step 2: Convert to fraction form
    3,762.50/5,637.66 = 2,297.20/x
  3. Step 3: Cross multiply
    3,762.50x = 5,637.66 × 2,297.20
  4. Step 4: Simplify right side
    3,762.50x = 12,950,832.55
  5. Step 5: Solve for x
    x = 12,950,832.55/3,762.50
  6. Step 6: Final answer
    x = 3,442.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.