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Finding the Fourth Proportional to 3,795.66, 5,235.75 and 2,803.50

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Solution

The fourth proportional to 3,795.66, 5,235.75 and 2,803.50 is: 3,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.66 : 5,235.75 = 2,803.50 : x
  2. Step 2: Convert to fraction form
    3,795.66/5,235.75 = 2,803.50/x
  3. Step 3: Cross multiply
    3,795.66x = 5,235.75 × 2,803.50
  4. Step 4: Simplify right side
    3,795.66x = 14,678,425.13
  5. Step 5: Solve for x
    x = 14,678,425.13/3,795.66
  6. Step 6: Final answer
    x = 3,867.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.