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Finding the Fourth Proportional to 5,393.08, 8,090.20 and 1,497.50

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Solution

The fourth proportional to 5,393.08, 8,090.20 and 1,497.50 is: 2,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.08 : 8,090.20 = 1,497.50 : x
  2. Step 2: Convert to fraction form
    5,393.08/8,090.20 = 1,497.50/x
  3. Step 3: Cross multiply
    5,393.08x = 8,090.20 × 1,497.50
  4. Step 4: Simplify right side
    5,393.08x = 12,115,074.50
  5. Step 5: Solve for x
    x = 12,115,074.50/5,393.08
  6. Step 6: Final answer
    x = 2,246.41

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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.