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Finding the Fourth Proportional to 4,645.37, 6,967.34 and 1,525.68

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Solution

The fourth proportional to 4,645.37, 6,967.34 and 1,525.68 is: 2,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.37 : 6,967.34 = 1,525.68 : x
  2. Step 2: Convert to fraction form
    4,645.37/6,967.34 = 1,525.68/x
  3. Step 3: Cross multiply
    4,645.37x = 6,967.34 × 1,525.68
  4. Step 4: Simplify right side
    4,645.37x = 10,629,955.51
  5. Step 5: Solve for x
    x = 10,629,955.51/4,645.37
  6. Step 6: Final answer
    x = 2,288.29

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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.