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Finding the Fourth Proportional to 3,386.25, 4,672.42 and 1,894.19

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Solution

The fourth proportional to 3,386.25, 4,672.42 and 1,894.19 is: 2,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.25 : 4,672.42 = 1,894.19 : x
  2. Step 2: Convert to fraction form
    3,386.25/4,672.42 = 1,894.19/x
  3. Step 3: Cross multiply
    3,386.25x = 4,672.42 × 1,894.19
  4. Step 4: Simplify right side
    3,386.25x = 8,850,423.14
  5. Step 5: Solve for x
    x = 8,850,423.14/3,386.25
  6. Step 6: Final answer
    x = 2,613.64

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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.