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Finding the Fourth Proportional to 5,989.85, 9,005.06 and 4,828.01

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Solution

The fourth proportional to 5,989.85, 9,005.06 and 4,828.01 is: 7,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.85 : 9,005.06 = 4,828.01 : x
  2. Step 2: Convert to fraction form
    5,989.85/9,005.06 = 4,828.01/x
  3. Step 3: Cross multiply
    5,989.85x = 9,005.06 × 4,828.01
  4. Step 4: Simplify right side
    5,989.85x = 43,476,510.27
  5. Step 5: Solve for x
    x = 43,476,510.27/5,989.85
  6. Step 6: Final answer
    x = 7,258.36

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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.