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Finding the Fourth Proportional to 5,858.52, 8,786.46 and 1,698.54

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Solution

The fourth proportional to 5,858.52, 8,786.46 and 1,698.54 is: 2,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.52 : 8,786.46 = 1,698.54 : x
  2. Step 2: Convert to fraction form
    5,858.52/8,786.46 = 1,698.54/x
  3. Step 3: Cross multiply
    5,858.52x = 8,786.46 × 1,698.54
  4. Step 4: Simplify right side
    5,858.52x = 14,924,153.77
  5. Step 5: Solve for x
    x = 14,924,153.77/5,858.52
  6. Step 6: Final answer
    x = 2,547.43

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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.