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Finding the Fourth Proportional to 3,038.06, 4,556.54 and 846.27

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Solution

The fourth proportional to 3,038.06, 4,556.54 and 846.27 is: 1,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.06 : 4,556.54 = 846.27 : x
  2. Step 2: Convert to fraction form
    3,038.06/4,556.54 = 846.27/x
  3. Step 3: Cross multiply
    3,038.06x = 4,556.54 × 846.27
  4. Step 4: Simplify right side
    3,038.06x = 3,856,058.87
  5. Step 5: Solve for x
    x = 3,856,058.87/3,038.06
  6. Step 6: Final answer
    x = 1,269.25

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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.