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Finding the Fourth Proportional to 5,339.37, 8,009.06 and 1,443.77

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Solution

The fourth proportional to 5,339.37, 8,009.06 and 1,443.77 is: 2,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.37 : 8,009.06 = 1,443.77 : x
  2. Step 2: Convert to fraction form
    5,339.37/8,009.06 = 1,443.77/x
  3. Step 3: Cross multiply
    5,339.37x = 8,009.06 × 1,443.77
  4. Step 4: Simplify right side
    5,339.37x = 11,563,276.50
  5. Step 5: Solve for x
    x = 11,563,276.50/5,339.37
  6. Step 6: Final answer
    x = 2,165.66

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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.