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Finding the Fourth Proportional to 2,962.42, 4,075.05 and 2,842.54

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Solution

The fourth proportional to 2,962.42, 4,075.05 and 2,842.54 is: 3,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.42 : 4,075.05 = 2,842.54 : x
  2. Step 2: Convert to fraction form
    2,962.42/4,075.05 = 2,842.54/x
  3. Step 3: Cross multiply
    2,962.42x = 4,075.05 × 2,842.54
  4. Step 4: Simplify right side
    2,962.42x = 11,583,492.63
  5. Step 5: Solve for x
    x = 11,583,492.63/2,962.42
  6. Step 6: Final answer
    x = 3,910.15

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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.