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Finding the Fourth Proportional to 4,357.50, 6,536.64 and 1,237.54

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Solution

The fourth proportional to 4,357.50, 6,536.64 and 1,237.54 is: 1,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.50 : 6,536.64 = 1,237.54 : x
  2. Step 2: Convert to fraction form
    4,357.50/6,536.64 = 1,237.54/x
  3. Step 3: Cross multiply
    4,357.50x = 6,536.64 × 1,237.54
  4. Step 4: Simplify right side
    4,357.50x = 8,089,353.47
  5. Step 5: Solve for x
    x = 8,089,353.47/4,357.50
  6. Step 6: Final answer
    x = 1,856.42

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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.