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Finding the Fourth Proportional to 4,269.51, 6,404.25 and 1,930.34

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Solution

The fourth proportional to 4,269.51, 6,404.25 and 1,930.34 is: 2,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.51 : 6,404.25 = 1,930.34 : x
  2. Step 2: Convert to fraction form
    4,269.51/6,404.25 = 1,930.34/x
  3. Step 3: Cross multiply
    4,269.51x = 6,404.25 × 1,930.34
  4. Step 4: Simplify right side
    4,269.51x = 12,362,347.92
  5. Step 5: Solve for x
    x = 12,362,347.92/4,269.51
  6. Step 6: Final answer
    x = 2,895.50

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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.