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Finding the Fourth Proportional to 4,259.68, 6,386.54 and 3,029.56

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Solution

The fourth proportional to 4,259.68, 6,386.54 and 3,029.56 is: 4,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.68 : 6,386.54 = 3,029.56 : x
  2. Step 2: Convert to fraction form
    4,259.68/6,386.54 = 3,029.56/x
  3. Step 3: Cross multiply
    4,259.68x = 6,386.54 × 3,029.56
  4. Step 4: Simplify right side
    4,259.68x = 19,348,406.12
  5. Step 5: Solve for x
    x = 19,348,406.12/4,259.68
  6. Step 6: Final answer
    x = 4,542.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.