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Finding the Fourth Proportional to 3,137.30, 4,714.03 and 2,364.59

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Solution

The fourth proportional to 3,137.30, 4,714.03 and 2,364.59 is: 3,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.30 : 4,714.03 = 2,364.59 : x
  2. Step 2: Convert to fraction form
    3,137.30/4,714.03 = 2,364.59/x
  3. Step 3: Cross multiply
    3,137.30x = 4,714.03 × 2,364.59
  4. Step 4: Simplify right side
    3,137.30x = 11,146,762.94
  5. Step 5: Solve for x
    x = 11,146,762.94/3,137.30
  6. Step 6: Final answer
    x = 3,552.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.