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Finding the Fourth Proportional to 5,664.84, 8,497.71 and 1,504.74

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Solution

The fourth proportional to 5,664.84, 8,497.71 and 1,504.74 is: 2,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.84 : 8,497.71 = 1,504.74 : x
  2. Step 2: Convert to fraction form
    5,664.84/8,497.71 = 1,504.74/x
  3. Step 3: Cross multiply
    5,664.84x = 8,497.71 × 1,504.74
  4. Step 4: Simplify right side
    5,664.84x = 12,786,844.15
  5. Step 5: Solve for x
    x = 12,786,844.15/5,664.84
  6. Step 6: Final answer
    x = 2,257.23

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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.