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Finding the Fourth Proportional to 4,486.68, 6,725.70 and 2,296.44

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Solution

The fourth proportional to 4,486.68, 6,725.70 and 2,296.44 is: 3,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.68 : 6,725.70 = 2,296.44 : x
  2. Step 2: Convert to fraction form
    4,486.68/6,725.70 = 2,296.44/x
  3. Step 3: Cross multiply
    4,486.68x = 6,725.70 × 2,296.44
  4. Step 4: Simplify right side
    4,486.68x = 15,445,166.51
  5. Step 5: Solve for x
    x = 15,445,166.51/4,486.68
  6. Step 6: Final answer
    x = 3,442.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.