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Finding the Fourth Proportional to 3,415.76, 4,714.47 and 2,697.49

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Solution

The fourth proportional to 3,415.76, 4,714.47 and 2,697.49 is: 3,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.76 : 4,714.47 = 2,697.49 : x
  2. Step 2: Convert to fraction form
    3,415.76/4,714.47 = 2,697.49/x
  3. Step 3: Cross multiply
    3,415.76x = 4,714.47 × 2,697.49
  4. Step 4: Simplify right side
    3,415.76x = 12,717,235.68
  5. Step 5: Solve for x
    x = 12,717,235.68/3,415.76
  6. Step 6: Final answer
    x = 3,723.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.