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Finding the Fourth Proportional to 4,352.50, 6,006.45 and 2,464.05

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Solution

The fourth proportional to 4,352.50, 6,006.45 and 2,464.05 is: 3,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.50 : 6,006.45 = 2,464.05 : x
  2. Step 2: Convert to fraction form
    4,352.50/6,006.45 = 2,464.05/x
  3. Step 3: Cross multiply
    4,352.50x = 6,006.45 × 2,464.05
  4. Step 4: Simplify right side
    4,352.50x = 14,800,193.12
  5. Step 5: Solve for x
    x = 14,800,193.12/4,352.50
  6. Step 6: Final answer
    x = 3,400.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.