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Finding the Fourth Proportional to 3,465.77, 4,782.57 and 1,973.66

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Solution

The fourth proportional to 3,465.77, 4,782.57 and 1,973.66 is: 2,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.77 : 4,782.57 = 1,973.66 : x
  2. Step 2: Convert to fraction form
    3,465.77/4,782.57 = 1,973.66/x
  3. Step 3: Cross multiply
    3,465.77x = 4,782.57 × 1,973.66
  4. Step 4: Simplify right side
    3,465.77x = 9,439,167.11
  5. Step 5: Solve for x
    x = 9,439,167.11/3,465.77
  6. Step 6: Final answer
    x = 2,723.54

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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.