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Finding the Fourth Proportional to 4,741.56, 7,111.11 and 1,409.03

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Solution

The fourth proportional to 4,741.56, 7,111.11 and 1,409.03 is: 2,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.56 : 7,111.11 = 1,409.03 : x
  2. Step 2: Convert to fraction form
    4,741.56/7,111.11 = 1,409.03/x
  3. Step 3: Cross multiply
    4,741.56x = 7,111.11 × 1,409.03
  4. Step 4: Simplify right side
    4,741.56x = 10,019,731.77
  5. Step 5: Solve for x
    x = 10,019,731.77/4,741.56
  6. Step 6: Final answer
    x = 2,113.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.