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Finding the Fourth Proportional to 4,390.97, 6,580.63 and 2,306.70

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Solution

The fourth proportional to 4,390.97, 6,580.63 and 2,306.70 is: 3,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.97 : 6,580.63 = 2,306.70 : x
  2. Step 2: Convert to fraction form
    4,390.97/6,580.63 = 2,306.70/x
  3. Step 3: Cross multiply
    4,390.97x = 6,580.63 × 2,306.70
  4. Step 4: Simplify right side
    4,390.97x = 15,179,566.78
  5. Step 5: Solve for x
    x = 15,179,566.78/4,390.97
  6. Step 6: Final answer
    x = 3,457.00

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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.