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Finding the Fourth Proportional to 3,895.95, 5,844.70 and 1,430.80

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Solution

The fourth proportional to 3,895.95, 5,844.70 and 1,430.80 is: 2,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.95 : 5,844.70 = 1,430.80 : x
  2. Step 2: Convert to fraction form
    3,895.95/5,844.70 = 1,430.80/x
  3. Step 3: Cross multiply
    3,895.95x = 5,844.70 × 1,430.80
  4. Step 4: Simplify right side
    3,895.95x = 8,362,567.54
  5. Step 5: Solve for x
    x = 8,362,567.54/3,895.95
  6. Step 6: Final answer
    x = 2,146.48

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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.