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Finding the Fourth Proportional to 4,047.84, 6,075 and 1,583.82

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Solution

The fourth proportional to 4,047.84, 6,075 and 1,583.82 is: 2,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.84 : 6,075 = 1,583.82 : x
  2. Step 2: Convert to fraction form
    4,047.84/6,075 = 1,583.82/x
  3. Step 3: Cross multiply
    4,047.84x = 6,075 × 1,583.82
  4. Step 4: Simplify right side
    4,047.84x = 9,621,706.50
  5. Step 5: Solve for x
    x = 9,621,706.50/4,047.84
  6. Step 6: Final answer
    x = 2,377.00

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Why These Related Problems?

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