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Finding the Fourth Proportional to 3,465.52, 5,197.47 and 1,157.02

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Solution

The fourth proportional to 3,465.52, 5,197.47 and 1,157.02 is: 1,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.52 : 5,197.47 = 1,157.02 : x
  2. Step 2: Convert to fraction form
    3,465.52/5,197.47 = 1,157.02/x
  3. Step 3: Cross multiply
    3,465.52x = 5,197.47 × 1,157.02
  4. Step 4: Simplify right side
    3,465.52x = 6,013,576.74
  5. Step 5: Solve for x
    x = 6,013,576.74/3,465.52
  6. Step 6: Final answer
    x = 1,735.26

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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.