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Finding the Fourth Proportional to 5,531.95, 7,634 and 3,014.09

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Solution

The fourth proportional to 5,531.95, 7,634 and 3,014.09 is: 4,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.95 : 7,634 = 3,014.09 : x
  2. Step 2: Convert to fraction form
    5,531.95/7,634 = 3,014.09/x
  3. Step 3: Cross multiply
    5,531.95x = 7,634 × 3,014.09
  4. Step 4: Simplify right side
    5,531.95x = 23,009,563.06
  5. Step 5: Solve for x
    x = 23,009,563.06/5,531.95
  6. Step 6: Final answer
    x = 4,159.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.