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Finding the Fourth Proportional to 5,784.98, 7,980.80 and 3,659.47

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Solution

The fourth proportional to 5,784.98, 7,980.80 and 3,659.47 is: 5,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.98 : 7,980.80 = 3,659.47 : x
  2. Step 2: Convert to fraction form
    5,784.98/7,980.80 = 3,659.47/x
  3. Step 3: Cross multiply
    5,784.98x = 7,980.80 × 3,659.47
  4. Step 4: Simplify right side
    5,784.98x = 29,205,459.93
  5. Step 5: Solve for x
    x = 29,205,459.93/5,784.98
  6. Step 6: Final answer
    x = 5,048.50

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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.