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Finding the Fourth Proportional to 3,536.54, 5,302.05 and 1,587.38

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Solution

The fourth proportional to 3,536.54, 5,302.05 and 1,587.38 is: 2,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.54 : 5,302.05 = 1,587.38 : x
  2. Step 2: Convert to fraction form
    3,536.54/5,302.05 = 1,587.38/x
  3. Step 3: Cross multiply
    3,536.54x = 5,302.05 × 1,587.38
  4. Step 4: Simplify right side
    3,536.54x = 8,416,368.13
  5. Step 5: Solve for x
    x = 8,416,368.13/3,536.54
  6. Step 6: Final answer
    x = 2,379.83

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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.