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Finding the Fourth Proportional to 3,384.57, 5,075.52 and 1,303.43

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Solution

The fourth proportional to 3,384.57, 5,075.52 and 1,303.43 is: 1,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.57 : 5,075.52 = 1,303.43 : x
  2. Step 2: Convert to fraction form
    3,384.57/5,075.52 = 1,303.43/x
  3. Step 3: Cross multiply
    3,384.57x = 5,075.52 × 1,303.43
  4. Step 4: Simplify right side
    3,384.57x = 6,615,554.77
  5. Step 5: Solve for x
    x = 6,615,554.77/3,384.57
  6. Step 6: Final answer
    x = 1,954.62

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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.