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Finding the Fourth Proportional to 3,497.84, 4,827.32 and 2,005.96

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Solution

The fourth proportional to 3,497.84, 4,827.32 and 2,005.96 is: 2,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.84 : 4,827.32 = 2,005.96 : x
  2. Step 2: Convert to fraction form
    3,497.84/4,827.32 = 2,005.96/x
  3. Step 3: Cross multiply
    3,497.84x = 4,827.32 × 2,005.96
  4. Step 4: Simplify right side
    3,497.84x = 9,683,410.83
  5. Step 5: Solve for x
    x = 9,683,410.83/3,497.84
  6. Step 6: Final answer
    x = 2,768.40

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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.