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Finding the Fourth Proportional to 5,084.44, 7,628 and 1,574.36

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Solution

The fourth proportional to 5,084.44, 7,628 and 1,574.36 is: 2,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.44 : 7,628 = 1,574.36 : x
  2. Step 2: Convert to fraction form
    5,084.44/7,628 = 1,574.36/x
  3. Step 3: Cross multiply
    5,084.44x = 7,628 × 1,574.36
  4. Step 4: Simplify right side
    5,084.44x = 12,009,218.08
  5. Step 5: Solve for x
    x = 12,009,218.08/5,084.44
  6. Step 6: Final answer
    x = 2,361.95

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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.