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Finding the Fourth Proportional to 5,261.84, 7,885.08 and 3,804.08

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Solution

The fourth proportional to 5,261.84, 7,885.08 and 3,804.08 is: 5,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.84 : 7,885.08 = 3,804.08 : x
  2. Step 2: Convert to fraction form
    5,261.84/7,885.08 = 3,804.08/x
  3. Step 3: Cross multiply
    5,261.84x = 7,885.08 × 3,804.08
  4. Step 4: Simplify right side
    5,261.84x = 29,995,475.13
  5. Step 5: Solve for x
    x = 29,995,475.13/5,261.84
  6. Step 6: Final answer
    x = 5,700.57

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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.