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Finding the Fourth Proportional to 4,058.16, 6,086.16 and 1,865.76

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Solution

The fourth proportional to 4,058.16, 6,086.16 and 1,865.76 is: 2,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.16 : 6,086.16 = 1,865.76 : x
  2. Step 2: Convert to fraction form
    4,058.16/6,086.16 = 1,865.76/x
  3. Step 3: Cross multiply
    4,058.16x = 6,086.16 × 1,865.76
  4. Step 4: Simplify right side
    4,058.16x = 11,355,313.88
  5. Step 5: Solve for x
    x = 11,355,313.88/4,058.16
  6. Step 6: Final answer
    x = 2,798.14

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