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Finding the Fourth Proportional to 5,036.18, 6,950.02 and 2,798

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Solution

The fourth proportional to 5,036.18, 6,950.02 and 2,798 is: 3,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.18 : 6,950.02 = 2,798 : x
  2. Step 2: Convert to fraction form
    5,036.18/6,950.02 = 2,798/x
  3. Step 3: Cross multiply
    5,036.18x = 6,950.02 × 2,798
  4. Step 4: Simplify right side
    5,036.18x = 19,446,155.96
  5. Step 5: Solve for x
    x = 19,446,155.96/5,036.18
  6. Step 6: Final answer
    x = 3,861.29

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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.