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Finding the Fourth Proportional to 4,745.22, 7,117.17 and 1,457.40

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Solution

The fourth proportional to 4,745.22, 7,117.17 and 1,457.40 is: 2,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.22 : 7,117.17 = 1,457.40 : x
  2. Step 2: Convert to fraction form
    4,745.22/7,117.17 = 1,457.40/x
  3. Step 3: Cross multiply
    4,745.22x = 7,117.17 × 1,457.40
  4. Step 4: Simplify right side
    4,745.22x = 10,372,563.56
  5. Step 5: Solve for x
    x = 10,372,563.56/4,745.22
  6. Step 6: Final answer
    x = 2,185.90

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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.