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Finding the Fourth Proportional to 3,116.95, 4,268.63 and 3,075.94

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Solution

The fourth proportional to 3,116.95, 4,268.63 and 3,075.94 is: 4,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.95 : 4,268.63 = 3,075.94 : x
  2. Step 2: Convert to fraction form
    3,116.95/4,268.63 = 3,075.94/x
  3. Step 3: Cross multiply
    3,116.95x = 4,268.63 × 3,075.94
  4. Step 4: Simplify right side
    3,116.95x = 13,130,062.79
  5. Step 5: Solve for x
    x = 13,130,062.79/3,116.95
  6. Step 6: Final answer
    x = 4,212.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.