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Finding the Fourth Proportional to 3,738.32, 5,608.56 and 1,430

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Solution

The fourth proportional to 3,738.32, 5,608.56 and 1,430 is: 2,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.32 : 5,608.56 = 1,430 : x
  2. Step 2: Convert to fraction form
    3,738.32/5,608.56 = 1,430/x
  3. Step 3: Cross multiply
    3,738.32x = 5,608.56 × 1,430
  4. Step 4: Simplify right side
    3,738.32x = 8,020,240.80
  5. Step 5: Solve for x
    x = 8,020,240.80/3,738.32
  6. Step 6: Final answer
    x = 2,145.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.