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Finding the Fourth Proportional to 4,907.24, 7,360.62 and 1,829

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Solution

The fourth proportional to 4,907.24, 7,360.62 and 1,829 is: 2,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.24 : 7,360.62 = 1,829 : x
  2. Step 2: Convert to fraction form
    4,907.24/7,360.62 = 1,829/x
  3. Step 3: Cross multiply
    4,907.24x = 7,360.62 × 1,829
  4. Step 4: Simplify right side
    4,907.24x = 13,462,573.98
  5. Step 5: Solve for x
    x = 13,462,573.98/4,907.24
  6. Step 6: Final answer
    x = 2,743.41

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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.