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Finding the Fourth Proportional to 4,826.62, 7,232.64 and 3,588.22

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Solution

The fourth proportional to 4,826.62, 7,232.64 and 3,588.22 is: 5,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.62 : 7,232.64 = 3,588.22 : x
  2. Step 2: Convert to fraction form
    4,826.62/7,232.64 = 3,588.22/x
  3. Step 3: Cross multiply
    4,826.62x = 7,232.64 × 3,588.22
  4. Step 4: Simplify right side
    4,826.62x = 25,952,303.50
  5. Step 5: Solve for x
    x = 25,952,303.50/4,826.62
  6. Step 6: Final answer
    x = 5,376.91

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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.