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Finding the Fourth Proportional to 4,297.96, 6,447 and 1,378.72

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Solution

The fourth proportional to 4,297.96, 6,447 and 1,378.72 is: 2,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.96 : 6,447 = 1,378.72 : x
  2. Step 2: Convert to fraction form
    4,297.96/6,447 = 1,378.72/x
  3. Step 3: Cross multiply
    4,297.96x = 6,447 × 1,378.72
  4. Step 4: Simplify right side
    4,297.96x = 8,888,607.84
  5. Step 5: Solve for x
    x = 8,888,607.84/4,297.96
  6. Step 6: Final answer
    x = 2,068.10

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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.