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Finding the Fourth Proportional to 5,190.04, 7,784.62 and 1,294.44

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Solution

The fourth proportional to 5,190.04, 7,784.62 and 1,294.44 is: 1,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.04 : 7,784.62 = 1,294.44 : x
  2. Step 2: Convert to fraction form
    5,190.04/7,784.62 = 1,294.44/x
  3. Step 3: Cross multiply
    5,190.04x = 7,784.62 × 1,294.44
  4. Step 4: Simplify right side
    5,190.04x = 10,076,723.51
  5. Step 5: Solve for x
    x = 10,076,723.51/5,190.04
  6. Step 6: Final answer
    x = 1,941.55

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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.