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Finding the Fourth Proportional to 3,890.89, 5,848.63 and 3,349.60

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Solution

The fourth proportional to 3,890.89, 5,848.63 and 3,349.60 is: 5,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.89 : 5,848.63 = 3,349.60 : x
  2. Step 2: Convert to fraction form
    3,890.89/5,848.63 = 3,349.60/x
  3. Step 3: Cross multiply
    3,890.89x = 5,848.63 × 3,349.60
  4. Step 4: Simplify right side
    3,890.89x = 19,590,590.37
  5. Step 5: Solve for x
    x = 19,590,590.37/3,890.89
  6. Step 6: Final answer
    x = 5,035.00

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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.