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Finding the Fourth Proportional to 4,339.26, 6,509.85 and 2,029.50

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Solution

The fourth proportional to 4,339.26, 6,509.85 and 2,029.50 is: 3,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.26 : 6,509.85 = 2,029.50 : x
  2. Step 2: Convert to fraction form
    4,339.26/6,509.85 = 2,029.50/x
  3. Step 3: Cross multiply
    4,339.26x = 6,509.85 × 2,029.50
  4. Step 4: Simplify right side
    4,339.26x = 13,211,740.58
  5. Step 5: Solve for x
    x = 13,211,740.58/4,339.26
  6. Step 6: Final answer
    x = 3,044.70

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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.