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Finding the Fourth Proportional to 4,704.48, 7,054.29 and 2,106

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Solution

The fourth proportional to 4,704.48, 7,054.29 and 2,106 is: 3,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.48 : 7,054.29 = 2,106 : x
  2. Step 2: Convert to fraction form
    4,704.48/7,054.29 = 2,106/x
  3. Step 3: Cross multiply
    4,704.48x = 7,054.29 × 2,106
  4. Step 4: Simplify right side
    4,704.48x = 14,856,334.74
  5. Step 5: Solve for x
    x = 14,856,334.74/4,704.48
  6. Step 6: Final answer
    x = 3,157.91

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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.