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Finding the Fourth Proportional to 5,664.16, 8,498.40 and 2,584

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Solution

The fourth proportional to 5,664.16, 8,498.40 and 2,584 is: 3,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.16 : 8,498.40 = 2,584 : x
  2. Step 2: Convert to fraction form
    5,664.16/8,498.40 = 2,584/x
  3. Step 3: Cross multiply
    5,664.16x = 8,498.40 × 2,584
  4. Step 4: Simplify right side
    5,664.16x = 21,959,865.60
  5. Step 5: Solve for x
    x = 21,959,865.60/5,664.16
  6. Step 6: Final answer
    x = 3,876.99

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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.