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Finding the Fourth Proportional to 4,297.95, 6,447.35 and 1,178.14

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Solution

The fourth proportional to 4,297.95, 6,447.35 and 1,178.14 is: 1,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.95 : 6,447.35 = 1,178.14 : x
  2. Step 2: Convert to fraction form
    4,297.95/6,447.35 = 1,178.14/x
  3. Step 3: Cross multiply
    4,297.95x = 6,447.35 × 1,178.14
  4. Step 4: Simplify right side
    4,297.95x = 7,595,880.93
  5. Step 5: Solve for x
    x = 7,595,880.93/4,297.95
  6. Step 6: Final answer
    x = 1,767.33

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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.