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Finding the Fourth Proportional to 5,742.85, 7,919.30 and 5,408.00

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Solution

The fourth proportional to 5,742.85, 7,919.30 and 5,408.00 is: 7,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.85 : 7,919.30 = 5,408.00 : x
  2. Step 2: Convert to fraction form
    5,742.85/7,919.30 = 5,408.00/x
  3. Step 3: Cross multiply
    5,742.85x = 7,919.30 × 5,408.00
  4. Step 4: Simplify right side
    5,742.85x = 42,827,607.72
  5. Step 5: Solve for x
    x = 42,827,607.72/5,742.85
  6. Step 6: Final answer
    x = 7,457.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.