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Finding the Fourth Proportional to 4,803.06, 7,199.64 and 1,840.69

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Solution

The fourth proportional to 4,803.06, 7,199.64 and 1,840.69 is: 2,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.06 : 7,199.64 = 1,840.69 : x
  2. Step 2: Convert to fraction form
    4,803.06/7,199.64 = 1,840.69/x
  3. Step 3: Cross multiply
    4,803.06x = 7,199.64 × 1,840.69
  4. Step 4: Simplify right side
    4,803.06x = 13,252,305.35
  5. Step 5: Solve for x
    x = 13,252,305.35/4,803.06
  6. Step 6: Final answer
    x = 2,759.14

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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.