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Finding the Fourth Proportional to 3,710.08, 5,120 and 2,054.08

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Solution

The fourth proportional to 3,710.08, 5,120 and 2,054.08 is: 2,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.08 : 5,120 = 2,054.08 : x
  2. Step 2: Convert to fraction form
    3,710.08/5,120 = 2,054.08/x
  3. Step 3: Cross multiply
    3,710.08x = 5,120 × 2,054.08
  4. Step 4: Simplify right side
    3,710.08x = 10,516,889.60
  5. Step 5: Solve for x
    x = 10,516,889.60/3,710.08
  6. Step 6: Final answer
    x = 2,834.68

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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.