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Finding the Fourth Proportional to 8,394.94, 12,594.22 and 2,552.02

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Solution

The fourth proportional to 8,394.94, 12,594.22 and 2,552.02 is: 3,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.94 : 12,594.22 = 2,552.02 : x
  2. Step 2: Convert to fraction form
    8,394.94/12,594.22 = 2,552.02/x
  3. Step 3: Cross multiply
    8,394.94x = 12,594.22 × 2,552.02
  4. Step 4: Simplify right side
    8,394.94x = 32,140,701.32
  5. Step 5: Solve for x
    x = 32,140,701.32/8,394.94
  6. Step 6: Final answer
    x = 3,828.58

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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.