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Finding the Fourth Proportional to 3,155.28, 4,733.05 and 1,075.20

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Solution

The fourth proportional to 3,155.28, 4,733.05 and 1,075.20 is: 1,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.28 : 4,733.05 = 1,075.20 : x
  2. Step 2: Convert to fraction form
    3,155.28/4,733.05 = 1,075.20/x
  3. Step 3: Cross multiply
    3,155.28x = 4,733.05 × 1,075.20
  4. Step 4: Simplify right side
    3,155.28x = 5,088,975.36
  5. Step 5: Solve for x
    x = 5,088,975.36/3,155.28
  6. Step 6: Final answer
    x = 1,612.84

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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.