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Finding the Fourth Proportional to 5,789.90, 7,985.04 and 4,670.48

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Solution

The fourth proportional to 5,789.90, 7,985.04 and 4,670.48 is: 6,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.90 : 7,985.04 = 4,670.48 : x
  2. Step 2: Convert to fraction form
    5,789.90/7,985.04 = 4,670.48/x
  3. Step 3: Cross multiply
    5,789.90x = 7,985.04 × 4,670.48
  4. Step 4: Simplify right side
    5,789.90x = 37,293,969.62
  5. Step 5: Solve for x
    x = 37,293,969.62/5,789.90
  6. Step 6: Final answer
    x = 6,441.21

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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.