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Finding the Fourth Proportional to 4,085.99, 5,646.32 and 3,339.67

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Solution

The fourth proportional to 4,085.99, 5,646.32 and 3,339.67 is: 4,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.99 : 5,646.32 = 3,339.67 : x
  2. Step 2: Convert to fraction form
    4,085.99/5,646.32 = 3,339.67/x
  3. Step 3: Cross multiply
    4,085.99x = 5,646.32 × 3,339.67
  4. Step 4: Simplify right side
    4,085.99x = 18,856,845.51
  5. Step 5: Solve for x
    x = 18,856,845.51/4,085.99
  6. Step 6: Final answer
    x = 4,615.00

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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.