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Finding the Fourth Proportional to 4,774.77, 6,583.55 and 4,424.85

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Solution

The fourth proportional to 4,774.77, 6,583.55 and 4,424.85 is: 6,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.77 : 6,583.55 = 4,424.85 : x
  2. Step 2: Convert to fraction form
    4,774.77/6,583.55 = 4,424.85/x
  3. Step 3: Cross multiply
    4,774.77x = 6,583.55 × 4,424.85
  4. Step 4: Simplify right side
    4,774.77x = 29,131,199.09
  5. Step 5: Solve for x
    x = 29,131,199.09/4,774.77
  6. Step 6: Final answer
    x = 6,101.07

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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.