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Finding the Fourth Proportional to 5,989.64, 9,004.74 and 4,827.80

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Solution

The fourth proportional to 5,989.64, 9,004.74 and 4,827.80 is: 7,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.64 : 9,004.74 = 4,827.80 : x
  2. Step 2: Convert to fraction form
    5,989.64/9,004.74 = 4,827.80/x
  3. Step 3: Cross multiply
    5,989.64x = 9,004.74 × 4,827.80
  4. Step 4: Simplify right side
    5,989.64x = 43,473,083.77
  5. Step 5: Solve for x
    x = 43,473,083.77/5,989.64
  6. Step 6: Final answer
    x = 7,258.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.