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Finding the Fourth Proportional to 4,900.24, 6,762.86 and 3,011.86

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Solution

The fourth proportional to 4,900.24, 6,762.86 and 3,011.86 is: 4,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.24 : 6,762.86 = 3,011.86 : x
  2. Step 2: Convert to fraction form
    4,900.24/6,762.86 = 3,011.86/x
  3. Step 3: Cross multiply
    4,900.24x = 6,762.86 × 3,011.86
  4. Step 4: Simplify right side
    4,900.24x = 20,368,787.52
  5. Step 5: Solve for x
    x = 20,368,787.52/4,900.24
  6. Step 6: Final answer
    x = 4,156.69

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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.