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Finding the Fourth Proportional to 4,763.36, 7,145.70 and 1,644.16

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Solution

The fourth proportional to 4,763.36, 7,145.70 and 1,644.16 is: 2,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.36 : 7,145.70 = 1,644.16 : x
  2. Step 2: Convert to fraction form
    4,763.36/7,145.70 = 1,644.16/x
  3. Step 3: Cross multiply
    4,763.36x = 7,145.70 × 1,644.16
  4. Step 4: Simplify right side
    4,763.36x = 11,748,674.11
  5. Step 5: Solve for x
    x = 11,748,674.11/4,763.36
  6. Step 6: Final answer
    x = 2,466.47

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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.