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Finding the Fourth Proportional to 5,762.66, 7,950.26 and 3,522.74

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Solution

The fourth proportional to 5,762.66, 7,950.26 and 3,522.74 is: 4,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.66 : 7,950.26 = 3,522.74 : x
  2. Step 2: Convert to fraction form
    5,762.66/7,950.26 = 3,522.74/x
  3. Step 3: Cross multiply
    5,762.66x = 7,950.26 × 3,522.74
  4. Step 4: Simplify right side
    5,762.66x = 28,006,698.91
  5. Step 5: Solve for x
    x = 28,006,698.91/5,762.66
  6. Step 6: Final answer
    x = 4,860.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.