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Finding the Fourth Proportional to 5,852.98, 8,077.12 and 3,334.98

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Solution

The fourth proportional to 5,852.98, 8,077.12 and 3,334.98 is: 4,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.98 : 8,077.12 = 3,334.98 : x
  2. Step 2: Convert to fraction form
    5,852.98/8,077.12 = 3,334.98/x
  3. Step 3: Cross multiply
    5,852.98x = 8,077.12 × 3,334.98
  4. Step 4: Simplify right side
    5,852.98x = 26,937,033.66
  5. Step 5: Solve for x
    x = 26,937,033.66/5,852.98
  6. Step 6: Final answer
    x = 4,602.28

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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.