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Finding the Fourth Proportional to 3,610.12, 5,411.94 and 1,300

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Solution

The fourth proportional to 3,610.12, 5,411.94 and 1,300 is: 1,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.12 : 5,411.94 = 1,300 : x
  2. Step 2: Convert to fraction form
    3,610.12/5,411.94 = 1,300/x
  3. Step 3: Cross multiply
    3,610.12x = 5,411.94 × 1,300
  4. Step 4: Simplify right side
    3,610.12x = 7,035,522.00
  5. Step 5: Solve for x
    x = 7,035,522.00/3,610.12
  6. Step 6: Final answer
    x = 1,948.83

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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.