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Finding the Fourth Proportional to 4,550.69, 6,826.04 and 1,430.98

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Solution

The fourth proportional to 4,550.69, 6,826.04 and 1,430.98 is: 2,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.69 : 6,826.04 = 1,430.98 : x
  2. Step 2: Convert to fraction form
    4,550.69/6,826.04 = 1,430.98/x
  3. Step 3: Cross multiply
    4,550.69x = 6,826.04 × 1,430.98
  4. Step 4: Simplify right side
    4,550.69x = 9,767,885.43
  5. Step 5: Solve for x
    x = 9,767,885.43/4,550.69
  6. Step 6: Final answer
    x = 2,146.46

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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.