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Finding the Fourth Proportional to 4,417.53, 6,085.59 and 3,786.06

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Solution

The fourth proportional to 4,417.53, 6,085.59 and 3,786.06 is: 5,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.53 : 6,085.59 = 3,786.06 : x
  2. Step 2: Convert to fraction form
    4,417.53/6,085.59 = 3,786.06/x
  3. Step 3: Cross multiply
    4,417.53x = 6,085.59 × 3,786.06
  4. Step 4: Simplify right side
    4,417.53x = 23,040,408.88
  5. Step 5: Solve for x
    x = 23,040,408.88/4,417.53
  6. Step 6: Final answer
    x = 5,215.68

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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.