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Finding the Fourth Proportional to 4,945.71, 7,418.57 and 4,210.59

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Solution

The fourth proportional to 4,945.71, 7,418.57 and 4,210.59 is: 6,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.71 : 7,418.57 = 4,210.59 : x
  2. Step 2: Convert to fraction form
    4,945.71/7,418.57 = 4,210.59/x
  3. Step 3: Cross multiply
    4,945.71x = 7,418.57 × 4,210.59
  4. Step 4: Simplify right side
    4,945.71x = 31,236,535.60
  5. Step 5: Solve for x
    x = 31,236,535.60/4,945.71
  6. Step 6: Final answer
    x = 6,315.89

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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.