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Finding the Fourth Proportional to 4,666.14, 6,994.89 and 1,742.22

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Solution

The fourth proportional to 4,666.14, 6,994.89 and 1,742.22 is: 2,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.14 : 6,994.89 = 1,742.22 : x
  2. Step 2: Convert to fraction form
    4,666.14/6,994.89 = 1,742.22/x
  3. Step 3: Cross multiply
    4,666.14x = 6,994.89 × 1,742.22
  4. Step 4: Simplify right side
    4,666.14x = 12,186,637.26
  5. Step 5: Solve for x
    x = 12,186,637.26/4,666.14
  6. Step 6: Final answer
    x = 2,611.72

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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.