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Finding the Fourth Proportional to 5,827.25, 8,737.22 and 2,705.31

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Solution

The fourth proportional to 5,827.25, 8,737.22 and 2,705.31 is: 4,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.25 : 8,737.22 = 2,705.31 : x
  2. Step 2: Convert to fraction form
    5,827.25/8,737.22 = 2,705.31/x
  3. Step 3: Cross multiply
    5,827.25x = 8,737.22 × 2,705.31
  4. Step 4: Simplify right side
    5,827.25x = 23,636,875.11
  5. Step 5: Solve for x
    x = 23,636,875.11/5,827.25
  6. Step 6: Final answer
    x = 4,056.27

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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.