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Finding the Fourth Proportional to 4,742.09, 7,112.10 and 1,454.30

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Solution

The fourth proportional to 4,742.09, 7,112.10 and 1,454.30 is: 2,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.09 : 7,112.10 = 1,454.30 : x
  2. Step 2: Convert to fraction form
    4,742.09/7,112.10 = 1,454.30/x
  3. Step 3: Cross multiply
    4,742.09x = 7,112.10 × 1,454.30
  4. Step 4: Simplify right side
    4,742.09x = 10,343,127.03
  5. Step 5: Solve for x
    x = 10,343,127.03/4,742.09
  6. Step 6: Final answer
    x = 2,181.13

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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.