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Finding the Fourth Proportional to 3,768.46, 5,653.11 and 1,303.00

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Solution

The fourth proportional to 3,768.46, 5,653.11 and 1,303.00 is: 1,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.46 : 5,653.11 = 1,303.00 : x
  2. Step 2: Convert to fraction form
    3,768.46/5,653.11 = 1,303.00/x
  3. Step 3: Cross multiply
    3,768.46x = 5,653.11 × 1,303.00
  4. Step 4: Simplify right side
    3,768.46x = 7,365,967.55
  5. Step 5: Solve for x
    x = 7,365,967.55/3,768.46
  6. Step 6: Final answer
    x = 1,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.