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Finding the Fourth Proportional to 4,406.83, 6,610.07 and 1,445.50

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Solution

The fourth proportional to 4,406.83, 6,610.07 and 1,445.50 is: 2,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.83 : 6,610.07 = 1,445.50 : x
  2. Step 2: Convert to fraction form
    4,406.83/6,610.07 = 1,445.50/x
  3. Step 3: Cross multiply
    4,406.83x = 6,610.07 × 1,445.50
  4. Step 4: Simplify right side
    4,406.83x = 9,554,856.19
  5. Step 5: Solve for x
    x = 9,554,856.19/4,406.83
  6. Step 6: Final answer
    x = 2,168.19

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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.