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Finding the Fourth Proportional to 5,840.84, 8,056.68 and 4,661.48

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Solution

The fourth proportional to 5,840.84, 8,056.68 and 4,661.48 is: 6,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.84 : 8,056.68 = 4,661.48 : x
  2. Step 2: Convert to fraction form
    5,840.84/8,056.68 = 4,661.48/x
  3. Step 3: Cross multiply
    5,840.84x = 8,056.68 × 4,661.48
  4. Step 4: Simplify right side
    5,840.84x = 37,556,052.69
  5. Step 5: Solve for x
    x = 37,556,052.69/5,840.84
  6. Step 6: Final answer
    x = 6,429.91

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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.