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Finding the Fourth Proportional to 4,924.08, 6,796 and 4,762.08

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Solution

The fourth proportional to 4,924.08, 6,796 and 4,762.08 is: 6,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.08 : 6,796 = 4,762.08 : x
  2. Step 2: Convert to fraction form
    4,924.08/6,796 = 4,762.08/x
  3. Step 3: Cross multiply
    4,924.08x = 6,796 × 4,762.08
  4. Step 4: Simplify right side
    4,924.08x = 32,363,095.68
  5. Step 5: Solve for x
    x = 32,363,095.68/4,924.08
  6. Step 6: Final answer
    x = 6,572.41

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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.