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Finding the Fourth Proportional to 3,668.02, 5,502.75 and 1,070.98

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Solution

The fourth proportional to 3,668.02, 5,502.75 and 1,070.98 is: 1,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.02 : 5,502.75 = 1,070.98 : x
  2. Step 2: Convert to fraction form
    3,668.02/5,502.75 = 1,070.98/x
  3. Step 3: Cross multiply
    3,668.02x = 5,502.75 × 1,070.98
  4. Step 4: Simplify right side
    3,668.02x = 5,893,335.20
  5. Step 5: Solve for x
    x = 5,893,335.20/3,668.02
  6. Step 6: Final answer
    x = 1,606.68

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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.