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Finding the Fourth Proportional to 4,762, 6,574.44 and 3,108.88

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Solution

The fourth proportional to 4,762, 6,574.44 and 3,108.88 is: 4,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762 : 6,574.44 = 3,108.88 : x
  2. Step 2: Convert to fraction form
    4,762/6,574.44 = 3,108.88/x
  3. Step 3: Cross multiply
    4,762x = 6,574.44 × 3,108.88
  4. Step 4: Simplify right side
    4,762x = 20,439,145.03
  5. Step 5: Solve for x
    x = 20,439,145.03/4,762
  6. Step 6: Final answer
    x = 4,292.13

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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.