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Finding the Fourth Proportional to 5,784.12, 7,976.34 and 4,661.46

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Solution

The fourth proportional to 5,784.12, 7,976.34 and 4,661.46 is: 6,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.12 : 7,976.34 = 4,661.46 : x
  2. Step 2: Convert to fraction form
    5,784.12/7,976.34 = 4,661.46/x
  3. Step 3: Cross multiply
    5,784.12x = 7,976.34 × 4,661.46
  4. Step 4: Simplify right side
    5,784.12x = 37,181,389.86
  5. Step 5: Solve for x
    x = 37,181,389.86/5,784.12
  6. Step 6: Final answer
    x = 6,428.18

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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.