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Finding the Fourth Proportional to 4,667.40, 6,440.04 and 4,074.48

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Solution

The fourth proportional to 4,667.40, 6,440.04 and 4,074.48 is: 5,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.40 : 6,440.04 = 4,074.48 : x
  2. Step 2: Convert to fraction form
    4,667.40/6,440.04 = 4,074.48/x
  3. Step 3: Cross multiply
    4,667.40x = 6,440.04 × 4,074.48
  4. Step 4: Simplify right side
    4,667.40x = 26,239,814.18
  5. Step 5: Solve for x
    x = 26,239,814.18/4,667.40
  6. Step 6: Final answer
    x = 5,621.93

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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.