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Finding the Fourth Proportional to 4,214.76, 6,322.48 and 1,751.19

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Solution

The fourth proportional to 4,214.76, 6,322.48 and 1,751.19 is: 2,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.76 : 6,322.48 = 1,751.19 : x
  2. Step 2: Convert to fraction form
    4,214.76/6,322.48 = 1,751.19/x
  3. Step 3: Cross multiply
    4,214.76x = 6,322.48 × 1,751.19
  4. Step 4: Simplify right side
    4,214.76x = 11,071,893.94
  5. Step 5: Solve for x
    x = 11,071,893.94/4,214.76
  6. Step 6: Final answer
    x = 2,626.93

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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.