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Finding the Fourth Proportional to 3,762.49, 5,643.71 and 2,941.45

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Solution

The fourth proportional to 3,762.49, 5,643.71 and 2,941.45 is: 4,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.49 : 5,643.71 = 2,941.45 : x
  2. Step 2: Convert to fraction form
    3,762.49/5,643.71 = 2,941.45/x
  3. Step 3: Cross multiply
    3,762.49x = 5,643.71 × 2,941.45
  4. Step 4: Simplify right side
    3,762.49x = 16,600,704.74
  5. Step 5: Solve for x
    x = 16,600,704.74/3,762.49
  6. Step 6: Final answer
    x = 4,412.16

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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.