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Finding the Fourth Proportional to 4,054.94, 6,083.03 and 1,714.94

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Solution

The fourth proportional to 4,054.94, 6,083.03 and 1,714.94 is: 2,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.94 : 6,083.03 = 1,714.94 : x
  2. Step 2: Convert to fraction form
    4,054.94/6,083.03 = 1,714.94/x
  3. Step 3: Cross multiply
    4,054.94x = 6,083.03 × 1,714.94
  4. Step 4: Simplify right side
    4,054.94x = 10,432,038.10
  5. Step 5: Solve for x
    x = 10,432,038.10/4,054.94
  6. Step 6: Final answer
    x = 2,572.68

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Why These Related Problems?

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