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Finding the Fourth Proportional to 3,415.86, 4,714.08 and 2,089.38

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Solution

The fourth proportional to 3,415.86, 4,714.08 and 2,089.38 is: 2,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.86 : 4,714.08 = 2,089.38 : x
  2. Step 2: Convert to fraction form
    3,415.86/4,714.08 = 2,089.38/x
  3. Step 3: Cross multiply
    3,415.86x = 4,714.08 × 2,089.38
  4. Step 4: Simplify right side
    3,415.86x = 9,849,504.47
  5. Step 5: Solve for x
    x = 9,849,504.47/3,415.86
  6. Step 6: Final answer
    x = 2,883.46

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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.