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Finding the Fourth Proportional to 4,745.55, 7,117.52 and 1,457.75

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Solution

The fourth proportional to 4,745.55, 7,117.52 and 1,457.75 is: 2,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.55 : 7,117.52 = 1,457.75 : x
  2. Step 2: Convert to fraction form
    4,745.55/7,117.52 = 1,457.75/x
  3. Step 3: Cross multiply
    4,745.55x = 7,117.52 × 1,457.75
  4. Step 4: Simplify right side
    4,745.55x = 10,375,564.78
  5. Step 5: Solve for x
    x = 10,375,564.78/4,745.55
  6. Step 6: Final answer
    x = 2,186.38

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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.