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Finding the Fourth Proportional to 4,130.56, 5,700.12 and 2,242.21

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Solution

The fourth proportional to 4,130.56, 5,700.12 and 2,242.21 is: 3,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.56 : 5,700.12 = 2,242.21 : x
  2. Step 2: Convert to fraction form
    4,130.56/5,700.12 = 2,242.21/x
  3. Step 3: Cross multiply
    4,130.56x = 5,700.12 × 2,242.21
  4. Step 4: Simplify right side
    4,130.56x = 12,780,866.07
  5. Step 5: Solve for x
    x = 12,780,866.07/4,130.56
  6. Step 6: Final answer
    x = 3,094.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.