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Finding the Fourth Proportional to 5,460.45, 7,525.43 and 3,965.77

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Solution

The fourth proportional to 5,460.45, 7,525.43 and 3,965.77 is: 5,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.45 : 7,525.43 = 3,965.77 : x
  2. Step 2: Convert to fraction form
    5,460.45/7,525.43 = 3,965.77/x
  3. Step 3: Cross multiply
    5,460.45x = 7,525.43 × 3,965.77
  4. Step 4: Simplify right side
    5,460.45x = 29,844,085.89
  5. Step 5: Solve for x
    x = 29,844,085.89/5,460.45
  6. Step 6: Final answer
    x = 5,465.50

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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.