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Finding the Fourth Proportional to 4,823.40, 7,235.42 and 1,745

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Solution

The fourth proportional to 4,823.40, 7,235.42 and 1,745 is: 2,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.40 : 7,235.42 = 1,745 : x
  2. Step 2: Convert to fraction form
    4,823.40/7,235.42 = 1,745/x
  3. Step 3: Cross multiply
    4,823.40x = 7,235.42 × 1,745
  4. Step 4: Simplify right side
    4,823.40x = 12,625,807.90
  5. Step 5: Solve for x
    x = 12,625,807.90/4,823.40
  6. Step 6: Final answer
    x = 2,617.62

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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.