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Finding the Fourth Proportional to 5,628.04, 7,718.25 and 5,563.24

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Solution

The fourth proportional to 5,628.04, 7,718.25 and 5,563.24 is: 7,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.04 : 7,718.25 = 5,563.24 : x
  2. Step 2: Convert to fraction form
    5,628.04/7,718.25 = 5,563.24/x
  3. Step 3: Cross multiply
    5,628.04x = 7,718.25 × 5,563.24
  4. Step 4: Simplify right side
    5,628.04x = 42,938,477.13
  5. Step 5: Solve for x
    x = 42,938,477.13/5,628.04
  6. Step 6: Final answer
    x = 7,629.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.