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Finding the Fourth Proportional to 4,213.95, 6,320.43 and 1,874.01

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Solution

The fourth proportional to 4,213.95, 6,320.43 and 1,874.01 is: 2,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.95 : 6,320.43 = 1,874.01 : x
  2. Step 2: Convert to fraction form
    4,213.95/6,320.43 = 1,874.01/x
  3. Step 3: Cross multiply
    4,213.95x = 6,320.43 × 1,874.01
  4. Step 4: Simplify right side
    4,213.95x = 11,844,549.02
  5. Step 5: Solve for x
    x = 11,844,549.02/4,213.95
  6. Step 6: Final answer
    x = 2,810.79

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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.