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Finding the Fourth Proportional to 5,351.04, 8,028 and 1,653.12

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Solution

The fourth proportional to 5,351.04, 8,028 and 1,653.12 is: 2,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.04 : 8,028 = 1,653.12 : x
  2. Step 2: Convert to fraction form
    5,351.04/8,028 = 1,653.12/x
  3. Step 3: Cross multiply
    5,351.04x = 8,028 × 1,653.12
  4. Step 4: Simplify right side
    5,351.04x = 13,271,247.36
  5. Step 5: Solve for x
    x = 13,271,247.36/5,351.04
  6. Step 6: Final answer
    x = 2,480.12

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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.