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Finding the Fourth Proportional to 3,075.96, 4,607.40 and 2,855.64

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Solution

The fourth proportional to 3,075.96, 4,607.40 and 2,855.64 is: 4,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.96 : 4,607.40 = 2,855.64 : x
  2. Step 2: Convert to fraction form
    3,075.96/4,607.40 = 2,855.64/x
  3. Step 3: Cross multiply
    3,075.96x = 4,607.40 × 2,855.64
  4. Step 4: Simplify right side
    3,075.96x = 13,157,075.74
  5. Step 5: Solve for x
    x = 13,157,075.74/3,075.96
  6. Step 6: Final answer
    x = 4,277.39

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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.