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Finding the Fourth Proportional to 5,083, 7,616.63 and 3,526.03

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Solution

The fourth proportional to 5,083, 7,616.63 and 3,526.03 is: 5,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083 : 7,616.63 = 3,526.03 : x
  2. Step 2: Convert to fraction form
    5,083/7,616.63 = 3,526.03/x
  3. Step 3: Cross multiply
    5,083x = 7,616.63 × 3,526.03
  4. Step 4: Simplify right side
    5,083x = 26,856,448.25
  5. Step 5: Solve for x
    x = 26,856,448.25/5,083
  6. Step 6: Final answer
    x = 5,283.58

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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.