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Finding the Fourth Proportional to 4,945.46, 7,406.47 and 4,292.65

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Solution

The fourth proportional to 4,945.46, 7,406.47 and 4,292.65 is: 6,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.46 : 7,406.47 = 4,292.65 : x
  2. Step 2: Convert to fraction form
    4,945.46/7,406.47 = 4,292.65/x
  3. Step 3: Cross multiply
    4,945.46x = 7,406.47 × 4,292.65
  4. Step 4: Simplify right side
    4,945.46x = 31,793,356.41
  5. Step 5: Solve for x
    x = 31,793,356.41/4,945.46
  6. Step 6: Final answer
    x = 6,428.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.