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Finding the Fourth Proportional to 5,098.36, 7,643.40 and 1,809.40

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Solution

The fourth proportional to 5,098.36, 7,643.40 and 1,809.40 is: 2,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.36 : 7,643.40 = 1,809.40 : x
  2. Step 2: Convert to fraction form
    5,098.36/7,643.40 = 1,809.40/x
  3. Step 3: Cross multiply
    5,098.36x = 7,643.40 × 1,809.40
  4. Step 4: Simplify right side
    5,098.36x = 13,829,967.96
  5. Step 5: Solve for x
    x = 13,829,967.96/5,098.36
  6. Step 6: Final answer
    x = 2,712.63

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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.