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Finding the Fourth Proportional to 5,116.07, 7,675.14 and 1,829.08

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Solution

The fourth proportional to 5,116.07, 7,675.14 and 1,829.08 is: 2,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.07 : 7,675.14 = 1,829.08 : x
  2. Step 2: Convert to fraction form
    5,116.07/7,675.14 = 1,829.08/x
  3. Step 3: Cross multiply
    5,116.07x = 7,675.14 × 1,829.08
  4. Step 4: Simplify right side
    5,116.07x = 14,038,445.07
  5. Step 5: Solve for x
    x = 14,038,445.07/5,116.07
  6. Step 6: Final answer
    x = 2,743.99

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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.