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Finding the Fourth Proportional to 5,303.98, 7,944.27 and 3,323.16

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Solution

The fourth proportional to 5,303.98, 7,944.27 and 3,323.16 is: 4,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.98 : 7,944.27 = 3,323.16 : x
  2. Step 2: Convert to fraction form
    5,303.98/7,944.27 = 3,323.16/x
  3. Step 3: Cross multiply
    5,303.98x = 7,944.27 × 3,323.16
  4. Step 4: Simplify right side
    5,303.98x = 26,400,023.96
  5. Step 5: Solve for x
    x = 26,400,023.96/5,303.98
  6. Step 6: Final answer
    x = 4,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.