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Finding the Fourth Proportional to 5,068.63, 6,986.34 and 3,389.42

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Solution

The fourth proportional to 5,068.63, 6,986.34 and 3,389.42 is: 4,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.63 : 6,986.34 = 3,389.42 : x
  2. Step 2: Convert to fraction form
    5,068.63/6,986.34 = 3,389.42/x
  3. Step 3: Cross multiply
    5,068.63x = 6,986.34 × 3,389.42
  4. Step 4: Simplify right side
    5,068.63x = 23,679,657.99
  5. Step 5: Solve for x
    x = 23,679,657.99/5,068.63
  6. Step 6: Final answer
    x = 4,671.81

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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.