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Finding the Fourth Proportional to 3,894.01, 5,374.71 and 2,403.16

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Solution

The fourth proportional to 3,894.01, 5,374.71 and 2,403.16 is: 3,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.01 : 5,374.71 = 2,403.16 : x
  2. Step 2: Convert to fraction form
    3,894.01/5,374.71 = 2,403.16/x
  3. Step 3: Cross multiply
    3,894.01x = 5,374.71 × 2,403.16
  4. Step 4: Simplify right side
    3,894.01x = 12,916,274.65
  5. Step 5: Solve for x
    x = 12,916,274.65/3,894.01
  6. Step 6: Final answer
    x = 3,316.96

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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.