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Finding the Fourth Proportional to 4,745.85, 7,116.87 and 1,457.79

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Solution

The fourth proportional to 4,745.85, 7,116.87 and 1,457.79 is: 2,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.85 : 7,116.87 = 1,457.79 : x
  2. Step 2: Convert to fraction form
    4,745.85/7,116.87 = 1,457.79/x
  3. Step 3: Cross multiply
    4,745.85x = 7,116.87 × 1,457.79
  4. Step 4: Simplify right side
    4,745.85x = 10,374,901.92
  5. Step 5: Solve for x
    x = 10,374,901.92/4,745.85
  6. Step 6: Final answer
    x = 2,186.10

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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.