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Finding the Fourth Proportional to 5,594.25, 8,391.42 and 1,698.66

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Solution

The fourth proportional to 5,594.25, 8,391.42 and 1,698.66 is: 2,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.25 : 8,391.42 = 1,698.66 : x
  2. Step 2: Convert to fraction form
    5,594.25/8,391.42 = 1,698.66/x
  3. Step 3: Cross multiply
    5,594.25x = 8,391.42 × 1,698.66
  4. Step 4: Simplify right side
    5,594.25x = 14,254,169.50
  5. Step 5: Solve for x
    x = 14,254,169.50/5,594.25
  6. Step 6: Final answer
    x = 2,548.00

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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.