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Finding the Fourth Proportional to 4,130.90, 5,700.86 and 2,362.86

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Solution

The fourth proportional to 4,130.90, 5,700.86 and 2,362.86 is: 3,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.90 : 5,700.86 = 2,362.86 : x
  2. Step 2: Convert to fraction form
    4,130.90/5,700.86 = 2,362.86/x
  3. Step 3: Cross multiply
    4,130.90x = 5,700.86 × 2,362.86
  4. Step 4: Simplify right side
    4,130.90x = 13,470,334.06
  5. Step 5: Solve for x
    x = 13,470,334.06/4,130.90
  6. Step 6: Final answer
    x = 3,260.87

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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.