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Finding the Fourth Proportional to 4,863.04, 6,714.19 and 3,742.00

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Solution

The fourth proportional to 4,863.04, 6,714.19 and 3,742.00 is: 5,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.04 : 6,714.19 = 3,742.00 : x
  2. Step 2: Convert to fraction form
    4,863.04/6,714.19 = 3,742.00/x
  3. Step 3: Cross multiply
    4,863.04x = 6,714.19 × 3,742.00
  4. Step 4: Simplify right side
    4,863.04x = 25,124,486.87
  5. Step 5: Solve for x
    x = 25,124,486.87/4,863.04
  6. Step 6: Final answer
    x = 5,166.42

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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.