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Finding the Fourth Proportional to 3,415.40, 4,712.53 and 2,420.31

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Solution

The fourth proportional to 3,415.40, 4,712.53 and 2,420.31 is: 3,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.40 : 4,712.53 = 2,420.31 : x
  2. Step 2: Convert to fraction form
    3,415.40/4,712.53 = 2,420.31/x
  3. Step 3: Cross multiply
    3,415.40x = 4,712.53 × 2,420.31
  4. Step 4: Simplify right side
    3,415.40x = 11,405,771.38
  5. Step 5: Solve for x
    x = 11,405,771.38/3,415.40
  6. Step 6: Final answer
    x = 3,339.52

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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.