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Finding the Fourth Proportional to 5,803.10, 8,703.84 and 1,907

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Solution

The fourth proportional to 5,803.10, 8,703.84 and 1,907 is: 2,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.10 : 8,703.84 = 1,907 : x
  2. Step 2: Convert to fraction form
    5,803.10/8,703.84 = 1,907/x
  3. Step 3: Cross multiply
    5,803.10x = 8,703.84 × 1,907
  4. Step 4: Simplify right side
    5,803.10x = 16,598,222.88
  5. Step 5: Solve for x
    x = 16,598,222.88/5,803.10
  6. Step 6: Final answer
    x = 2,860.23

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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.