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Finding the Fourth Proportional to 6,130.88, 8,460.31 and 3,478.23

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Solution

The fourth proportional to 6,130.88, 8,460.31 and 3,478.23 is: 4,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.88 : 8,460.31 = 3,478.23 : x
  2. Step 2: Convert to fraction form
    6,130.88/8,460.31 = 3,478.23/x
  3. Step 3: Cross multiply
    6,130.88x = 8,460.31 × 3,478.23
  4. Step 4: Simplify right side
    6,130.88x = 29,426,904.05
  5. Step 5: Solve for x
    x = 29,426,904.05/6,130.88
  6. Step 6: Final answer
    x = 4,799.78

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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.