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Finding the Fourth Proportional to 4,952.30, 7,428.21 and 1,830.96

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Solution

The fourth proportional to 4,952.30, 7,428.21 and 1,830.96 is: 2,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.30 : 7,428.21 = 1,830.96 : x
  2. Step 2: Convert to fraction form
    4,952.30/7,428.21 = 1,830.96/x
  3. Step 3: Cross multiply
    4,952.30x = 7,428.21 × 1,830.96
  4. Step 4: Simplify right side
    4,952.30x = 13,600,755.38
  5. Step 5: Solve for x
    x = 13,600,755.38/4,952.30
  6. Step 6: Final answer
    x = 2,746.35

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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.