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Finding the Fourth Proportional to 4,130.37, 6,195.25 and 1,357

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Solution

The fourth proportional to 4,130.37, 6,195.25 and 1,357 is: 2,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.37 : 6,195.25 = 1,357 : x
  2. Step 2: Convert to fraction form
    4,130.37/6,195.25 = 1,357/x
  3. Step 3: Cross multiply
    4,130.37x = 6,195.25 × 1,357
  4. Step 4: Simplify right side
    4,130.37x = 8,406,954.25
  5. Step 5: Solve for x
    x = 8,406,954.25/4,130.37
  6. Step 6: Final answer
    x = 2,035.40

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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.