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Finding the Fourth Proportional to 4,075.63, 6,114.81 and 1,735.54

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Solution

The fourth proportional to 4,075.63, 6,114.81 and 1,735.54 is: 2,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.63 : 6,114.81 = 1,735.54 : x
  2. Step 2: Convert to fraction form
    4,075.63/6,114.81 = 1,735.54/x
  3. Step 3: Cross multiply
    4,075.63x = 6,114.81 × 1,735.54
  4. Step 4: Simplify right side
    4,075.63x = 10,612,497.35
  5. Step 5: Solve for x
    x = 10,612,497.35/4,075.63
  6. Step 6: Final answer
    x = 2,603.89

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