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Finding the Fourth Proportional to 5,193.68, 7,790.76 and 1,298.12

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Solution

The fourth proportional to 5,193.68, 7,790.76 and 1,298.12 is: 1,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.68 : 7,790.76 = 1,298.12 : x
  2. Step 2: Convert to fraction form
    5,193.68/7,790.76 = 1,298.12/x
  3. Step 3: Cross multiply
    5,193.68x = 7,790.76 × 1,298.12
  4. Step 4: Simplify right side
    5,193.68x = 10,113,341.37
  5. Step 5: Solve for x
    x = 10,113,341.37/5,193.68
  6. Step 6: Final answer
    x = 1,947.24

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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.