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Finding the Fourth Proportional to 6,130.68, 8,461.23 and 3,442.20

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Solution

The fourth proportional to 6,130.68, 8,461.23 and 3,442.20 is: 4,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.68 : 8,461.23 = 3,442.20 : x
  2. Step 2: Convert to fraction form
    6,130.68/8,461.23 = 3,442.20/x
  3. Step 3: Cross multiply
    6,130.68x = 8,461.23 × 3,442.20
  4. Step 4: Simplify right side
    6,130.68x = 29,125,245.91
  5. Step 5: Solve for x
    x = 29,125,245.91/6,130.68
  6. Step 6: Final answer
    x = 4,750.74

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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.