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Finding the Fourth Proportional to 5,339.09, 8,003.07 and 1,828.06

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Solution

The fourth proportional to 5,339.09, 8,003.07 and 1,828.06 is: 2,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.09 : 8,003.07 = 1,828.06 : x
  2. Step 2: Convert to fraction form
    5,339.09/8,003.07 = 1,828.06/x
  3. Step 3: Cross multiply
    5,339.09x = 8,003.07 × 1,828.06
  4. Step 4: Simplify right side
    5,339.09x = 14,630,083.00
  5. Step 5: Solve for x
    x = 14,630,083.00/5,339.09
  6. Step 6: Final answer
    x = 2,740.18

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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.