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Finding the Fourth Proportional to 3,458.66, 5,188.68 and 1,267.34

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Solution

The fourth proportional to 3,458.66, 5,188.68 and 1,267.34 is: 1,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.66 : 5,188.68 = 1,267.34 : x
  2. Step 2: Convert to fraction form
    3,458.66/5,188.68 = 1,267.34/x
  3. Step 3: Cross multiply
    3,458.66x = 5,188.68 × 1,267.34
  4. Step 4: Simplify right side
    3,458.66x = 6,575,795.77
  5. Step 5: Solve for x
    x = 6,575,795.77/3,458.66
  6. Step 6: Final answer
    x = 1,901.26

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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.