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Finding the Fourth Proportional to 5,115.98, 7,675.59 and 1,829

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Solution

The fourth proportional to 5,115.98, 7,675.59 and 1,829 is: 2,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.98 : 7,675.59 = 1,829 : x
  2. Step 2: Convert to fraction form
    5,115.98/7,675.59 = 1,829/x
  3. Step 3: Cross multiply
    5,115.98x = 7,675.59 × 1,829
  4. Step 4: Simplify right side
    5,115.98x = 14,038,654.11
  5. Step 5: Solve for x
    x = 14,038,654.11/5,115.98
  6. Step 6: Final answer
    x = 2,744.08

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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.