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Finding the Fourth Proportional to 5,683.50, 8,525.25 and 1,787.91

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Solution

The fourth proportional to 5,683.50, 8,525.25 and 1,787.91 is: 2,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.50 : 8,525.25 = 1,787.91 : x
  2. Step 2: Convert to fraction form
    5,683.50/8,525.25 = 1,787.91/x
  3. Step 3: Cross multiply
    5,683.50x = 8,525.25 × 1,787.91
  4. Step 4: Simplify right side
    5,683.50x = 15,242,347.76
  5. Step 5: Solve for x
    x = 15,242,347.76/5,683.50
  6. Step 6: Final answer
    x = 2,681.86

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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.