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Finding the Fourth Proportional to 5,268.24, 7,902.28 and 1,570.50

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Solution

The fourth proportional to 5,268.24, 7,902.28 and 1,570.50 is: 2,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.24 : 7,902.28 = 1,570.50 : x
  2. Step 2: Convert to fraction form
    5,268.24/7,902.28 = 1,570.50/x
  3. Step 3: Cross multiply
    5,268.24x = 7,902.28 × 1,570.50
  4. Step 4: Simplify right side
    5,268.24x = 12,410,530.74
  5. Step 5: Solve for x
    x = 12,410,530.74/5,268.24
  6. Step 6: Final answer
    x = 2,355.73

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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.