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Finding the Fourth Proportional to 3,668.63, 5,497.77 and 1,587.03

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Solution

The fourth proportional to 3,668.63, 5,497.77 and 1,587.03 is: 2,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.63 : 5,497.77 = 1,587.03 : x
  2. Step 2: Convert to fraction form
    3,668.63/5,497.77 = 1,587.03/x
  3. Step 3: Cross multiply
    3,668.63x = 5,497.77 × 1,587.03
  4. Step 4: Simplify right side
    3,668.63x = 8,725,111.26
  5. Step 5: Solve for x
    x = 8,725,111.26/3,668.63
  6. Step 6: Final answer
    x = 2,378.31

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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.