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Finding the Fourth Proportional to 3,894.58, 5,374.05 and 2,402.16

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Solution

The fourth proportional to 3,894.58, 5,374.05 and 2,402.16 is: 3,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.58 : 5,374.05 = 2,402.16 : x
  2. Step 2: Convert to fraction form
    3,894.58/5,374.05 = 2,402.16/x
  3. Step 3: Cross multiply
    3,894.58x = 5,374.05 × 2,402.16
  4. Step 4: Simplify right side
    3,894.58x = 12,909,298.79
  5. Step 5: Solve for x
    x = 12,909,298.79/3,894.58
  6. Step 6: Final answer
    x = 3,314.68

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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.