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Finding the Fourth Proportional to 5,193.66, 7,790.73 and 1,298.10

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Solution

The fourth proportional to 5,193.66, 7,790.73 and 1,298.10 is: 1,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.66 : 7,790.73 = 1,298.10 : x
  2. Step 2: Convert to fraction form
    5,193.66/7,790.73 = 1,298.10/x
  3. Step 3: Cross multiply
    5,193.66x = 7,790.73 × 1,298.10
  4. Step 4: Simplify right side
    5,193.66x = 10,113,146.61
  5. Step 5: Solve for x
    x = 10,113,146.61/5,193.66
  6. Step 6: Final answer
    x = 1,947.21

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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.