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Finding the Fourth Proportional to 4,588.70, 6,913.63 and 4,150.44

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Solution

The fourth proportional to 4,588.70, 6,913.63 and 4,150.44 is: 6,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.70 : 6,913.63 = 4,150.44 : x
  2. Step 2: Convert to fraction form
    4,588.70/6,913.63 = 4,150.44/x
  3. Step 3: Cross multiply
    4,588.70x = 6,913.63 × 4,150.44
  4. Step 4: Simplify right side
    4,588.70x = 28,694,596.12
  5. Step 5: Solve for x
    x = 28,694,596.12/4,588.70
  6. Step 6: Final answer
    x = 6,253.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.