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Finding the Fourth Proportional to 5,298.57, 7,947.72 and 1,403.01

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Solution

The fourth proportional to 5,298.57, 7,947.72 and 1,403.01 is: 2,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.57 : 7,947.72 = 1,403.01 : x
  2. Step 2: Convert to fraction form
    5,298.57/7,947.72 = 1,403.01/x
  3. Step 3: Cross multiply
    5,298.57x = 7,947.72 × 1,403.01
  4. Step 4: Simplify right side
    5,298.57x = 11,150,730.64
  5. Step 5: Solve for x
    x = 11,150,730.64/5,298.57
  6. Step 6: Final answer
    x = 2,104.48

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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.