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Finding the Fourth Proportional to 4,733.74, 7,095.22 and 2,880.77

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Solution

The fourth proportional to 4,733.74, 7,095.22 and 2,880.77 is: 4,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.74 : 7,095.22 = 2,880.77 : x
  2. Step 2: Convert to fraction form
    4,733.74/7,095.22 = 2,880.77/x
  3. Step 3: Cross multiply
    4,733.74x = 7,095.22 × 2,880.77
  4. Step 4: Simplify right side
    4,733.74x = 20,439,682.52
  5. Step 5: Solve for x
    x = 20,439,682.52/4,733.74
  6. Step 6: Final answer
    x = 4,317.88

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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.