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Finding the Fourth Proportional to 4,268.48, 6,400.18 and 2,075

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Solution

The fourth proportional to 4,268.48, 6,400.18 and 2,075 is: 3,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.48 : 6,400.18 = 2,075 : x
  2. Step 2: Convert to fraction form
    4,268.48/6,400.18 = 2,075/x
  3. Step 3: Cross multiply
    4,268.48x = 6,400.18 × 2,075
  4. Step 4: Simplify right side
    4,268.48x = 13,280,373.50
  5. Step 5: Solve for x
    x = 13,280,373.50/4,268.48
  6. Step 6: Final answer
    x = 3,111.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.