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Finding the Fourth Proportional to 5,784.84, 8,694.27 and 4,803.96

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Solution

The fourth proportional to 5,784.84, 8,694.27 and 4,803.96 is: 7,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.84 : 8,694.27 = 4,803.96 : x
  2. Step 2: Convert to fraction form
    5,784.84/8,694.27 = 4,803.96/x
  3. Step 3: Cross multiply
    5,784.84x = 8,694.27 × 4,803.96
  4. Step 4: Simplify right side
    5,784.84x = 41,766,925.31
  5. Step 5: Solve for x
    x = 41,766,925.31/5,784.84
  6. Step 6: Final answer
    x = 7,220.07

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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.