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Finding the Fourth Proportional to 5,205.74, 7,809.76 and 2,430.90

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Solution

The fourth proportional to 5,205.74, 7,809.76 and 2,430.90 is: 3,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.74 : 7,809.76 = 2,430.90 : x
  2. Step 2: Convert to fraction form
    5,205.74/7,809.76 = 2,430.90/x
  3. Step 3: Cross multiply
    5,205.74x = 7,809.76 × 2,430.90
  4. Step 4: Simplify right side
    5,205.74x = 18,984,745.58
  5. Step 5: Solve for x
    x = 18,984,745.58/5,205.74
  6. Step 6: Final answer
    x = 3,646.89

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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.