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Finding the Fourth Proportional to 3,038.09, 4,557.13 and 729.59

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Solution

The fourth proportional to 3,038.09, 4,557.13 and 729.59 is: 1,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.09 : 4,557.13 = 729.59 : x
  2. Step 2: Convert to fraction form
    3,038.09/4,557.13 = 729.59/x
  3. Step 3: Cross multiply
    3,038.09x = 4,557.13 × 729.59
  4. Step 4: Simplify right side
    3,038.09x = 3,324,811.87
  5. Step 5: Solve for x
    x = 3,324,811.87/3,038.09
  6. Step 6: Final answer
    x = 1,094.38

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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.