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Finding the Fourth Proportional to 5,720.77, 8,578.11 and 2,946.32

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Solution

The fourth proportional to 5,720.77, 8,578.11 and 2,946.32 is: 4,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.77 : 8,578.11 = 2,946.32 : x
  2. Step 2: Convert to fraction form
    5,720.77/8,578.11 = 2,946.32/x
  3. Step 3: Cross multiply
    5,720.77x = 8,578.11 × 2,946.32
  4. Step 4: Simplify right side
    5,720.77x = 25,273,814.16
  5. Step 5: Solve for x
    x = 25,273,814.16/5,720.77
  6. Step 6: Final answer
    x = 4,417.91

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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.