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Finding the Fourth Proportional to 3,967.62, 5,477.16 and 2,374.98

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Solution

The fourth proportional to 3,967.62, 5,477.16 and 2,374.98 is: 3,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.62 : 5,477.16 = 2,374.98 : x
  2. Step 2: Convert to fraction form
    3,967.62/5,477.16 = 2,374.98/x
  3. Step 3: Cross multiply
    3,967.62x = 5,477.16 × 2,374.98
  4. Step 4: Simplify right side
    3,967.62x = 13,008,145.46
  5. Step 5: Solve for x
    x = 13,008,145.46/3,967.62
  6. Step 6: Final answer
    x = 3,278.58

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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.