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Finding the Fourth Proportional to 5,097.54, 7,647.06 and 1,810.35

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Solution

The fourth proportional to 5,097.54, 7,647.06 and 1,810.35 is: 2,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.54 : 7,647.06 = 1,810.35 : x
  2. Step 2: Convert to fraction form
    5,097.54/7,647.06 = 1,810.35/x
  3. Step 3: Cross multiply
    5,097.54x = 7,647.06 × 1,810.35
  4. Step 4: Simplify right side
    5,097.54x = 13,843,855.07
  5. Step 5: Solve for x
    x = 13,843,855.07/5,097.54
  6. Step 6: Final answer
    x = 2,715.79

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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.