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Finding the Fourth Proportional to 5,803.64, 8,706.54 and 1,910.78

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Solution

The fourth proportional to 5,803.64, 8,706.54 and 1,910.78 is: 2,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.64 : 8,706.54 = 1,910.78 : x
  2. Step 2: Convert to fraction form
    5,803.64/8,706.54 = 1,910.78/x
  3. Step 3: Cross multiply
    5,803.64x = 8,706.54 × 1,910.78
  4. Step 4: Simplify right side
    5,803.64x = 16,636,282.50
  5. Step 5: Solve for x
    x = 16,636,282.50/5,803.64
  6. Step 6: Final answer
    x = 2,866.53

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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.