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Finding the Fourth Proportional to 4,328.54, 5,974.93 and 2,649.57

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Solution

The fourth proportional to 4,328.54, 5,974.93 and 2,649.57 is: 3,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.54 : 5,974.93 = 2,649.57 : x
  2. Step 2: Convert to fraction form
    4,328.54/5,974.93 = 2,649.57/x
  3. Step 3: Cross multiply
    4,328.54x = 5,974.93 × 2,649.57
  4. Step 4: Simplify right side
    4,328.54x = 15,830,976.19
  5. Step 5: Solve for x
    x = 15,830,976.19/4,328.54
  6. Step 6: Final answer
    x = 3,657.34

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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.