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Finding the Fourth Proportional to 5,116.78, 7,675.26 and 1,830.70

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Solution

The fourth proportional to 5,116.78, 7,675.26 and 1,830.70 is: 2,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.78 : 7,675.26 = 1,830.70 : x
  2. Step 2: Convert to fraction form
    5,116.78/7,675.26 = 1,830.70/x
  3. Step 3: Cross multiply
    5,116.78x = 7,675.26 × 1,830.70
  4. Step 4: Simplify right side
    5,116.78x = 14,051,098.48
  5. Step 5: Solve for x
    x = 14,051,098.48/5,116.78
  6. Step 6: Final answer
    x = 2,746.08

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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.