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Finding the Fourth Proportional to 5,216.45, 7,194.51 and 4,585.64

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Solution

The fourth proportional to 5,216.45, 7,194.51 and 4,585.64 is: 6,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.45 : 7,194.51 = 4,585.64 : x
  2. Step 2: Convert to fraction form
    5,216.45/7,194.51 = 4,585.64/x
  3. Step 3: Cross multiply
    5,216.45x = 7,194.51 × 4,585.64
  4. Step 4: Simplify right side
    5,216.45x = 32,991,432.84
  5. Step 5: Solve for x
    x = 32,991,432.84/5,216.45
  6. Step 6: Final answer
    x = 6,324.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.