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Finding the Fourth Proportional to 4,762.26, 7,143.84 and 1,840.50

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Solution

The fourth proportional to 4,762.26, 7,143.84 and 1,840.50 is: 2,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.26 : 7,143.84 = 1,840.50 : x
  2. Step 2: Convert to fraction form
    4,762.26/7,143.84 = 1,840.50/x
  3. Step 3: Cross multiply
    4,762.26x = 7,143.84 × 1,840.50
  4. Step 4: Simplify right side
    4,762.26x = 13,148,237.52
  5. Step 5: Solve for x
    x = 13,148,237.52/4,762.26
  6. Step 6: Final answer
    x = 2,760.92

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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.