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Finding the Fourth Proportional to 5,827.62, 8,038.44 and 3,468

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Solution

The fourth proportional to 5,827.62, 8,038.44 and 3,468 is: 4,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.62 : 8,038.44 = 3,468 : x
  2. Step 2: Convert to fraction form
    5,827.62/8,038.44 = 3,468/x
  3. Step 3: Cross multiply
    5,827.62x = 8,038.44 × 3,468
  4. Step 4: Simplify right side
    5,827.62x = 27,877,309.92
  5. Step 5: Solve for x
    x = 27,877,309.92/5,827.62
  6. Step 6: Final answer
    x = 4,783.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.