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Finding the Fourth Proportional to 5,642.30, 8,461.02 and 1,745.80

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Solution

The fourth proportional to 5,642.30, 8,461.02 and 1,745.80 is: 2,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.30 : 8,461.02 = 1,745.80 : x
  2. Step 2: Convert to fraction form
    5,642.30/8,461.02 = 1,745.80/x
  3. Step 3: Cross multiply
    5,642.30x = 8,461.02 × 1,745.80
  4. Step 4: Simplify right side
    5,642.30x = 14,771,248.72
  5. Step 5: Solve for x
    x = 14,771,248.72/5,642.30
  6. Step 6: Final answer
    x = 2,617.95

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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.