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Finding the Fourth Proportional to 3,768.35, 5,652.58 and 1,303.23

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Solution

The fourth proportional to 3,768.35, 5,652.58 and 1,303.23 is: 1,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.35 : 5,652.58 = 1,303.23 : x
  2. Step 2: Convert to fraction form
    3,768.35/5,652.58 = 1,303.23/x
  3. Step 3: Cross multiply
    3,768.35x = 5,652.58 × 1,303.23
  4. Step 4: Simplify right side
    3,768.35x = 7,366,615.63
  5. Step 5: Solve for x
    x = 7,366,615.63/3,768.35
  6. Step 6: Final answer
    x = 1,954.87

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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.