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Finding the Fourth Proportional to 5,286.02, 7,925.10 and 3,206.48

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Solution

The fourth proportional to 5,286.02, 7,925.10 and 3,206.48 is: 4,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.02 : 7,925.10 = 3,206.48 : x
  2. Step 2: Convert to fraction form
    5,286.02/7,925.10 = 3,206.48/x
  3. Step 3: Cross multiply
    5,286.02x = 7,925.10 × 3,206.48
  4. Step 4: Simplify right side
    5,286.02x = 25,411,674.65
  5. Step 5: Solve for x
    x = 25,411,674.65/5,286.02
  6. Step 6: Final answer
    x = 4,807.34

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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.