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Finding the Fourth Proportional to 3,465.37, 4,782.21 and 1,973.77

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Solution

The fourth proportional to 3,465.37, 4,782.21 and 1,973.77 is: 2,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.37 : 4,782.21 = 1,973.77 : x
  2. Step 2: Convert to fraction form
    3,465.37/4,782.21 = 1,973.77/x
  3. Step 3: Cross multiply
    3,465.37x = 4,782.21 × 1,973.77
  4. Step 4: Simplify right side
    3,465.37x = 9,438,982.63
  5. Step 5: Solve for x
    x = 9,438,982.63/3,465.37
  6. Step 6: Final answer
    x = 2,723.80

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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.