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Finding the Fourth Proportional to 5,132.84, 7,699.26 and 1,237.26

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Solution

The fourth proportional to 5,132.84, 7,699.26 and 1,237.26 is: 1,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.84 : 7,699.26 = 1,237.26 : x
  2. Step 2: Convert to fraction form
    5,132.84/7,699.26 = 1,237.26/x
  3. Step 3: Cross multiply
    5,132.84x = 7,699.26 × 1,237.26
  4. Step 4: Simplify right side
    5,132.84x = 9,525,986.43
  5. Step 5: Solve for x
    x = 9,525,986.43/5,132.84
  6. Step 6: Final answer
    x = 1,855.89

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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.