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Finding the Fourth Proportional to 3,462.69, 4,782.48 and 2,522.70

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Solution

The fourth proportional to 3,462.69, 4,782.48 and 2,522.70 is: 3,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.69 : 4,782.48 = 2,522.70 : x
  2. Step 2: Convert to fraction form
    3,462.69/4,782.48 = 2,522.70/x
  3. Step 3: Cross multiply
    3,462.69x = 4,782.48 × 2,522.70
  4. Step 4: Simplify right side
    3,462.69x = 12,064,762.30
  5. Step 5: Solve for x
    x = 12,064,762.30/3,462.69
  6. Step 6: Final answer
    x = 3,484.22

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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.