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Finding the Fourth Proportional to 6,290.84, 9,430.83 and 2,590.76

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Solution

The fourth proportional to 6,290.84, 9,430.83 and 2,590.76 is: 3,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.84 : 9,430.83 = 2,590.76 : x
  2. Step 2: Convert to fraction form
    6,290.84/9,430.83 = 2,590.76/x
  3. Step 3: Cross multiply
    6,290.84x = 9,430.83 × 2,590.76
  4. Step 4: Simplify right side
    6,290.84x = 24,432,969.98
  5. Step 5: Solve for x
    x = 24,432,969.98/6,290.84
  6. Step 6: Final answer
    x = 3,883.90

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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.