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Finding the Fourth Proportional to 3,695.09, 5,537.19 and 1,501.16

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Solution

The fourth proportional to 3,695.09, 5,537.19 and 1,501.16 is: 2,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.09 : 5,537.19 = 1,501.16 : x
  2. Step 2: Convert to fraction form
    3,695.09/5,537.19 = 1,501.16/x
  3. Step 3: Cross multiply
    3,695.09x = 5,537.19 × 1,501.16
  4. Step 4: Simplify right side
    3,695.09x = 8,312,208.14
  5. Step 5: Solve for x
    x = 8,312,208.14/3,695.09
  6. Step 6: Final answer
    x = 2,249.53

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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.