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Finding the Fourth Proportional to 4,297.14, 6,432.95 and 2,343.42

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Solution

The fourth proportional to 4,297.14, 6,432.95 and 2,343.42 is: 3,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.14 : 6,432.95 = 2,343.42 : x
  2. Step 2: Convert to fraction form
    4,297.14/6,432.95 = 2,343.42/x
  3. Step 3: Cross multiply
    4,297.14x = 6,432.95 × 2,343.42
  4. Step 4: Simplify right side
    4,297.14x = 15,075,109.55
  5. Step 5: Solve for x
    x = 15,075,109.55/4,297.14
  6. Step 6: Final answer
    x = 3,508.17

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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.