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Finding the Fourth Proportional to 5,097.38, 7,643.54 and 1,810.02

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Solution

The fourth proportional to 5,097.38, 7,643.54 and 1,810.02 is: 2,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.38 : 7,643.54 = 1,810.02 : x
  2. Step 2: Convert to fraction form
    5,097.38/7,643.54 = 1,810.02/x
  3. Step 3: Cross multiply
    5,097.38x = 7,643.54 × 1,810.02
  4. Step 4: Simplify right side
    5,097.38x = 13,834,960.27
  5. Step 5: Solve for x
    x = 13,834,960.27/5,097.38
  6. Step 6: Final answer
    x = 2,714.13

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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.