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Finding the Fourth Proportional to 3,975.07, 5,486.10 and 2,403.16

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Solution

The fourth proportional to 3,975.07, 5,486.10 and 2,403.16 is: 3,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.07 : 5,486.10 = 2,403.16 : x
  2. Step 2: Convert to fraction form
    3,975.07/5,486.10 = 2,403.16/x
  3. Step 3: Cross multiply
    3,975.07x = 5,486.10 × 2,403.16
  4. Step 4: Simplify right side
    3,975.07x = 13,183,936.63
  5. Step 5: Solve for x
    x = 13,183,936.63/3,975.07
  6. Step 6: Final answer
    x = 3,316.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.