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Finding the Fourth Proportional to 4,415.40, 6,093.26 and 2,425.64

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Solution

The fourth proportional to 4,415.40, 6,093.26 and 2,425.64 is: 3,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.40 : 6,093.26 = 2,425.64 : x
  2. Step 2: Convert to fraction form
    4,415.40/6,093.26 = 2,425.64/x
  3. Step 3: Cross multiply
    4,415.40x = 6,093.26 × 2,425.64
  4. Step 4: Simplify right side
    4,415.40x = 14,780,055.19
  5. Step 5: Solve for x
    x = 14,780,055.19/4,415.40
  6. Step 6: Final answer
    x = 3,347.39

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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.