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Finding the Fourth Proportional to 4,572.36, 6,309.81 and 2,582.91

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Solution

The fourth proportional to 4,572.36, 6,309.81 and 2,582.91 is: 3,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.36 : 6,309.81 = 2,582.91 : x
  2. Step 2: Convert to fraction form
    4,572.36/6,309.81 = 2,582.91/x
  3. Step 3: Cross multiply
    4,572.36x = 6,309.81 × 2,582.91
  4. Step 4: Simplify right side
    4,572.36x = 16,297,671.35
  5. Step 5: Solve for x
    x = 16,297,671.35/4,572.36
  6. Step 6: Final answer
    x = 3,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.