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Finding the Fourth Proportional to 6,130.24, 8,460.32 and 3,773.76

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Solution

The fourth proportional to 6,130.24, 8,460.32 and 3,773.76 is: 5,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.24 : 8,460.32 = 3,773.76 : x
  2. Step 2: Convert to fraction form
    6,130.24/8,460.32 = 3,773.76/x
  3. Step 3: Cross multiply
    6,130.24x = 8,460.32 × 3,773.76
  4. Step 4: Simplify right side
    6,130.24x = 31,927,217.20
  5. Step 5: Solve for x
    x = 31,927,217.20/6,130.24
  6. Step 6: Final answer
    x = 5,208.15

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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.