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Finding the Fourth Proportional to 3,075.46, 4,613.78 and 995.98

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Solution

The fourth proportional to 3,075.46, 4,613.78 and 995.98 is: 1,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.46 : 4,613.78 = 995.98 : x
  2. Step 2: Convert to fraction form
    3,075.46/4,613.78 = 995.98/x
  3. Step 3: Cross multiply
    3,075.46x = 4,613.78 × 995.98
  4. Step 4: Simplify right side
    3,075.46x = 4,595,219.82
  5. Step 5: Solve for x
    x = 4,595,219.82/3,075.46
  6. Step 6: Final answer
    x = 1,494.16

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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.