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Finding the Fourth Proportional to 5,098.84, 7,646.82 and 1,810.15

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Solution

The fourth proportional to 5,098.84, 7,646.82 and 1,810.15 is: 2,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.84 : 7,646.82 = 1,810.15 : x
  2. Step 2: Convert to fraction form
    5,098.84/7,646.82 = 1,810.15/x
  3. Step 3: Cross multiply
    5,098.84x = 7,646.82 × 1,810.15
  4. Step 4: Simplify right side
    5,098.84x = 13,841,891.22
  5. Step 5: Solve for x
    x = 13,841,891.22/5,098.84
  6. Step 6: Final answer
    x = 2,714.71

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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.