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Finding the Fourth Proportional to 3,764.98, 5,647.47 and 1,457.02

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Solution

The fourth proportional to 3,764.98, 5,647.47 and 1,457.02 is: 2,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.98 : 5,647.47 = 1,457.02 : x
  2. Step 2: Convert to fraction form
    3,764.98/5,647.47 = 1,457.02/x
  3. Step 3: Cross multiply
    3,764.98x = 5,647.47 × 1,457.02
  4. Step 4: Simplify right side
    3,764.98x = 8,228,476.74
  5. Step 5: Solve for x
    x = 8,228,476.74/3,764.98
  6. Step 6: Final answer
    x = 2,185.53

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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.