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Finding the Fourth Proportional to 4,777.47, 6,593.00 and 2,788.65

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Solution

The fourth proportional to 4,777.47, 6,593.00 and 2,788.65 is: 3,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.47 : 6,593.00 = 2,788.65 : x
  2. Step 2: Convert to fraction form
    4,777.47/6,593.00 = 2,788.65/x
  3. Step 3: Cross multiply
    4,777.47x = 6,593.00 × 2,788.65
  4. Step 4: Simplify right side
    4,777.47x = 18,385,555.51
  5. Step 5: Solve for x
    x = 18,385,555.51/4,777.47
  6. Step 6: Final answer
    x = 3,848.39

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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.