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Finding the Fourth Proportional to 3,075.65, 4,613.47 and 2,768.78

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Solution

The fourth proportional to 3,075.65, 4,613.47 and 2,768.78 is: 4,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.65 : 4,613.47 = 2,768.78 : x
  2. Step 2: Convert to fraction form
    3,075.65/4,613.47 = 2,768.78/x
  3. Step 3: Cross multiply
    3,075.65x = 4,613.47 × 2,768.78
  4. Step 4: Simplify right side
    3,075.65x = 12,773,683.47
  5. Step 5: Solve for x
    x = 12,773,683.47/3,075.65
  6. Step 6: Final answer
    x = 4,153.17

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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.