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Finding the Fourth Proportional to 5,145.84, 7,101 and 2,907.54

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Solution

The fourth proportional to 5,145.84, 7,101 and 2,907.54 is: 4,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.84 : 7,101 = 2,907.54 : x
  2. Step 2: Convert to fraction form
    5,145.84/7,101 = 2,907.54/x
  3. Step 3: Cross multiply
    5,145.84x = 7,101 × 2,907.54
  4. Step 4: Simplify right side
    5,145.84x = 20,646,441.54
  5. Step 5: Solve for x
    x = 20,646,441.54/5,145.84
  6. Step 6: Final answer
    x = 4,012.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.