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Finding the Fourth Proportional to 3,574.62, 5,362.56 and 1,383.18

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Solution

The fourth proportional to 3,574.62, 5,362.56 and 1,383.18 is: 2,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.62 : 5,362.56 = 1,383.18 : x
  2. Step 2: Convert to fraction form
    3,574.62/5,362.56 = 1,383.18/x
  3. Step 3: Cross multiply
    3,574.62x = 5,362.56 × 1,383.18
  4. Step 4: Simplify right side
    3,574.62x = 7,417,385.74
  5. Step 5: Solve for x
    x = 7,417,385.74/3,574.62
  6. Step 6: Final answer
    x = 2,075.01

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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.