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Finding the Fourth Proportional to 3,870.82, 5,341.74 and 2,102.45

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Solution

The fourth proportional to 3,870.82, 5,341.74 and 2,102.45 is: 2,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.82 : 5,341.74 = 2,102.45 : x
  2. Step 2: Convert to fraction form
    3,870.82/5,341.74 = 2,102.45/x
  3. Step 3: Cross multiply
    3,870.82x = 5,341.74 × 2,102.45
  4. Step 4: Simplify right side
    3,870.82x = 11,230,741.26
  5. Step 5: Solve for x
    x = 11,230,741.26/3,870.82
  6. Step 6: Final answer
    x = 2,901.39

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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.