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Finding the Fourth Proportional to 4,333, 6,501.52 and 2,140.60

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Solution

The fourth proportional to 4,333, 6,501.52 and 2,140.60 is: 3,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333 : 6,501.52 = 2,140.60 : x
  2. Step 2: Convert to fraction form
    4,333/6,501.52 = 2,140.60/x
  3. Step 3: Cross multiply
    4,333x = 6,501.52 × 2,140.60
  4. Step 4: Simplify right side
    4,333x = 13,917,153.71
  5. Step 5: Solve for x
    x = 13,917,153.71/4,333
  6. Step 6: Final answer
    x = 3,211.90

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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.