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Finding the Fourth Proportional to 4,186.40, 6,275.40 and 2,103.20

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Solution

The fourth proportional to 4,186.40, 6,275.40 and 2,103.20 is: 3,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.40 : 6,275.40 = 2,103.20 : x
  2. Step 2: Convert to fraction form
    4,186.40/6,275.40 = 2,103.20/x
  3. Step 3: Cross multiply
    4,186.40x = 6,275.40 × 2,103.20
  4. Step 4: Simplify right side
    4,186.40x = 13,198,421.28
  5. Step 5: Solve for x
    x = 13,198,421.28/4,186.40
  6. Step 6: Final answer
    x = 3,152.69

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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.