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Finding the Fourth Proportional to 4,905.57, 7,349.06 and 3,804.54

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Solution

The fourth proportional to 4,905.57, 7,349.06 and 3,804.54 is: 5,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.57 : 7,349.06 = 3,804.54 : x
  2. Step 2: Convert to fraction form
    4,905.57/7,349.06 = 3,804.54/x
  3. Step 3: Cross multiply
    4,905.57x = 7,349.06 × 3,804.54
  4. Step 4: Simplify right side
    4,905.57x = 27,959,773.71
  5. Step 5: Solve for x
    x = 27,959,773.71/4,905.57
  6. Step 6: Final answer
    x = 5,699.60

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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.