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Finding the Fourth Proportional to 5,752.66, 8,629.35 and 1,857.22

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Solution

The fourth proportional to 5,752.66, 8,629.35 and 1,857.22 is: 2,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.66 : 8,629.35 = 1,857.22 : x
  2. Step 2: Convert to fraction form
    5,752.66/8,629.35 = 1,857.22/x
  3. Step 3: Cross multiply
    5,752.66x = 8,629.35 × 1,857.22
  4. Step 4: Simplify right side
    5,752.66x = 16,026,601.41
  5. Step 5: Solve for x
    x = 16,026,601.41/5,752.66
  6. Step 6: Final answer
    x = 2,785.95

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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.