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Finding the Fourth Proportional to 3,465.96, 4,782.47 and 1,973.90

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Solution

The fourth proportional to 3,465.96, 4,782.47 and 1,973.90 is: 2,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.96 : 4,782.47 = 1,973.90 : x
  2. Step 2: Convert to fraction form
    3,465.96/4,782.47 = 1,973.90/x
  3. Step 3: Cross multiply
    3,465.96x = 4,782.47 × 1,973.90
  4. Step 4: Simplify right side
    3,465.96x = 9,440,107.66
  5. Step 5: Solve for x
    x = 9,440,107.66/3,465.96
  6. Step 6: Final answer
    x = 2,723.67

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Why These Related Problems?

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