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Finding the Fourth Proportional to 5,827.68, 8,038.20 and 3,468

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Solution

The fourth proportional to 5,827.68, 8,038.20 and 3,468 is: 4,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.68 : 8,038.20 = 3,468 : x
  2. Step 2: Convert to fraction form
    5,827.68/8,038.20 = 3,468/x
  3. Step 3: Cross multiply
    5,827.68x = 8,038.20 × 3,468
  4. Step 4: Simplify right side
    5,827.68x = 27,876,477.60
  5. Step 5: Solve for x
    x = 27,876,477.60/5,827.68
  6. Step 6: Final answer
    x = 4,783.46

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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.