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Finding the Fourth Proportional to 4,130.92, 5,700.60 and 2,362.30

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Solution

The fourth proportional to 4,130.92, 5,700.60 and 2,362.30 is: 3,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.92 : 5,700.60 = 2,362.30 : x
  2. Step 2: Convert to fraction form
    4,130.92/5,700.60 = 2,362.30/x
  3. Step 3: Cross multiply
    4,130.92x = 5,700.60 × 2,362.30
  4. Step 4: Simplify right side
    4,130.92x = 13,466,527.38
  5. Step 5: Solve for x
    x = 13,466,527.38/4,130.92
  6. Step 6: Final answer
    x = 3,259.93

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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.