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Finding the Fourth Proportional to 5,130.90, 7,696.19 and 1,844.18

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Solution

The fourth proportional to 5,130.90, 7,696.19 and 1,844.18 is: 2,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.90 : 7,696.19 = 1,844.18 : x
  2. Step 2: Convert to fraction form
    5,130.90/7,696.19 = 1,844.18/x
  3. Step 3: Cross multiply
    5,130.90x = 7,696.19 × 1,844.18
  4. Step 4: Simplify right side
    5,130.90x = 14,193,159.67
  5. Step 5: Solve for x
    x = 14,193,159.67/5,130.90
  6. Step 6: Final answer
    x = 2,766.21

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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.