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Finding the Fourth Proportional to 4,817.70, 6,646.05 and 2,826.96

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Solution

The fourth proportional to 4,817.70, 6,646.05 and 2,826.96 is: 3,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.70 : 6,646.05 = 2,826.96 : x
  2. Step 2: Convert to fraction form
    4,817.70/6,646.05 = 2,826.96/x
  3. Step 3: Cross multiply
    4,817.70x = 6,646.05 × 2,826.96
  4. Step 4: Simplify right side
    4,817.70x = 18,788,117.51
  5. Step 5: Solve for x
    x = 18,788,117.51/4,817.70
  6. Step 6: Final answer
    x = 3,899.81

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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.