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Finding the Fourth Proportional to 5,393.10, 8,089.77 and 1,497.48

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Solution

The fourth proportional to 5,393.10, 8,089.77 and 1,497.48 is: 2,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.10 : 8,089.77 = 1,497.48 : x
  2. Step 2: Convert to fraction form
    5,393.10/8,089.77 = 1,497.48/x
  3. Step 3: Cross multiply
    5,393.10x = 8,089.77 × 1,497.48
  4. Step 4: Simplify right side
    5,393.10x = 12,114,268.78
  5. Step 5: Solve for x
    x = 12,114,268.78/5,393.10
  6. Step 6: Final answer
    x = 2,246.25

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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.