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Finding the Fourth Proportional to 3,686.58, 5,085.99 and 2,269.08

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Solution

The fourth proportional to 3,686.58, 5,085.99 and 2,269.08 is: 3,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.58 : 5,085.99 = 2,269.08 : x
  2. Step 2: Convert to fraction form
    3,686.58/5,085.99 = 2,269.08/x
  3. Step 3: Cross multiply
    3,686.58x = 5,085.99 × 2,269.08
  4. Step 4: Simplify right side
    3,686.58x = 11,540,518.19
  5. Step 5: Solve for x
    x = 11,540,518.19/3,686.58
  6. Step 6: Final answer
    x = 3,130.41

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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.