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Finding the Fourth Proportional to 5,100.49, 7,038.25 and 3,609.28

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Solution

The fourth proportional to 5,100.49, 7,038.25 and 3,609.28 is: 4,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.49 : 7,038.25 = 3,609.28 : x
  2. Step 2: Convert to fraction form
    5,100.49/7,038.25 = 3,609.28/x
  3. Step 3: Cross multiply
    5,100.49x = 7,038.25 × 3,609.28
  4. Step 4: Simplify right side
    5,100.49x = 25,403,014.96
  5. Step 5: Solve for x
    x = 25,403,014.96/5,100.49
  6. Step 6: Final answer
    x = 4,980.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.