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Finding the Fourth Proportional to 3,415.88, 4,713.96 and 2,071.28

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Solution

The fourth proportional to 3,415.88, 4,713.96 and 2,071.28 is: 2,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.88 : 4,713.96 = 2,071.28 : x
  2. Step 2: Convert to fraction form
    3,415.88/4,713.96 = 2,071.28/x
  3. Step 3: Cross multiply
    3,415.88x = 4,713.96 × 2,071.28
  4. Step 4: Simplify right side
    3,415.88x = 9,763,931.07
  5. Step 5: Solve for x
    x = 9,763,931.07/3,415.88
  6. Step 6: Final answer
    x = 2,858.39

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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.