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Finding the Fourth Proportional to 5,803.49, 8,706.86 and 1,910.63

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Solution

The fourth proportional to 5,803.49, 8,706.86 and 1,910.63 is: 2,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.49 : 8,706.86 = 1,910.63 : x
  2. Step 2: Convert to fraction form
    5,803.49/8,706.86 = 1,910.63/x
  3. Step 3: Cross multiply
    5,803.49x = 8,706.86 × 1,910.63
  4. Step 4: Simplify right side
    5,803.49x = 16,635,534.83
  5. Step 5: Solve for x
    x = 16,635,534.83/5,803.49
  6. Step 6: Final answer
    x = 2,866.47

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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.