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Finding the Fourth Proportional to 4,119, 5,685.03 and 2,350.50

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Solution

The fourth proportional to 4,119, 5,685.03 and 2,350.50 is: 3,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119 : 5,685.03 = 2,350.50 : x
  2. Step 2: Convert to fraction form
    4,119/5,685.03 = 2,350.50/x
  3. Step 3: Cross multiply
    4,119x = 5,685.03 × 2,350.50
  4. Step 4: Simplify right side
    4,119x = 13,362,663.02
  5. Step 5: Solve for x
    x = 13,362,663.02/4,119
  6. Step 6: Final answer
    x = 3,244.15

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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.