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Finding the Fourth Proportional to 5,569.35, 7,684.34 and 3,085.35

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Solution

The fourth proportional to 5,569.35, 7,684.34 and 3,085.35 is: 4,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.35 : 7,684.34 = 3,085.35 : x
  2. Step 2: Convert to fraction form
    5,569.35/7,684.34 = 3,085.35/x
  3. Step 3: Cross multiply
    5,569.35x = 7,684.34 × 3,085.35
  4. Step 4: Simplify right side
    5,569.35x = 23,708,878.42
  5. Step 5: Solve for x
    x = 23,708,878.42/5,569.35
  6. Step 6: Final answer
    x = 4,257.03

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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.