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Finding the Fourth Proportional to 3,668.56, 5,503.03 and 1,071.52

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Solution

The fourth proportional to 3,668.56, 5,503.03 and 1,071.52 is: 1,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.56 : 5,503.03 = 1,071.52 : x
  2. Step 2: Convert to fraction form
    3,668.56/5,503.03 = 1,071.52/x
  3. Step 3: Cross multiply
    3,668.56x = 5,503.03 × 1,071.52
  4. Step 4: Simplify right side
    3,668.56x = 5,896,606.71
  5. Step 5: Solve for x
    x = 5,896,606.71/3,668.56
  6. Step 6: Final answer
    x = 1,607.34

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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.