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Finding the Fourth Proportional to 5,259.76, 7,256.40 and 3,021.16

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Solution

The fourth proportional to 5,259.76, 7,256.40 and 3,021.16 is: 4,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.76 : 7,256.40 = 3,021.16 : x
  2. Step 2: Convert to fraction form
    5,259.76/7,256.40 = 3,021.16/x
  3. Step 3: Cross multiply
    5,259.76x = 7,256.40 × 3,021.16
  4. Step 4: Simplify right side
    5,259.76x = 21,922,745.42
  5. Step 5: Solve for x
    x = 21,922,745.42/5,259.76
  6. Step 6: Final answer
    x = 4,168.01

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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.