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Finding the Fourth Proportional to 5,710.09, 8,563.65 and 2,421.49

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Solution

The fourth proportional to 5,710.09, 8,563.65 and 2,421.49 is: 3,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.09 : 8,563.65 = 2,421.49 : x
  2. Step 2: Convert to fraction form
    5,710.09/8,563.65 = 2,421.49/x
  3. Step 3: Cross multiply
    5,710.09x = 8,563.65 × 2,421.49
  4. Step 4: Simplify right side
    5,710.09x = 20,736,792.84
  5. Step 5: Solve for x
    x = 20,736,792.84/5,710.09
  6. Step 6: Final answer
    x = 3,631.61

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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.