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Finding the Fourth Proportional to 3,798.58, 5,693.94 and 1,457.96

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Solution

The fourth proportional to 3,798.58, 5,693.94 and 1,457.96 is: 2,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.58 : 5,693.94 = 1,457.96 : x
  2. Step 2: Convert to fraction form
    3,798.58/5,693.94 = 1,457.96/x
  3. Step 3: Cross multiply
    3,798.58x = 5,693.94 × 1,457.96
  4. Step 4: Simplify right side
    3,798.58x = 8,301,536.76
  5. Step 5: Solve for x
    x = 8,301,536.76/3,798.58
  6. Step 6: Final answer
    x = 2,185.43

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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.