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Finding the Fourth Proportional to 4,130.81, 5,700.52 and 2,242.39

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Solution

The fourth proportional to 4,130.81, 5,700.52 and 2,242.39 is: 3,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.81 : 5,700.52 = 2,242.39 : x
  2. Step 2: Convert to fraction form
    4,130.81/5,700.52 = 2,242.39/x
  3. Step 3: Cross multiply
    4,130.81x = 5,700.52 × 2,242.39
  4. Step 4: Simplify right side
    4,130.81x = 12,782,784.08
  5. Step 5: Solve for x
    x = 12,782,784.08/4,130.81
  6. Step 6: Final answer
    x = 3,094.50

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Why These Related Problems?

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