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Finding the Fourth Proportional to 4,714.92, 7,068.04 and 1,634.76

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Solution

The fourth proportional to 4,714.92, 7,068.04 and 1,634.76 is: 2,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.92 : 7,068.04 = 1,634.76 : x
  2. Step 2: Convert to fraction form
    4,714.92/7,068.04 = 1,634.76/x
  3. Step 3: Cross multiply
    4,714.92x = 7,068.04 × 1,634.76
  4. Step 4: Simplify right side
    4,714.92x = 11,554,549.07
  5. Step 5: Solve for x
    x = 11,554,549.07/4,714.92
  6. Step 6: Final answer
    x = 2,450.64

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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.