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Finding the Fourth Proportional to 4,571.99, 6,852.80 and 2,101.71

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Solution

The fourth proportional to 4,571.99, 6,852.80 and 2,101.71 is: 3,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.99 : 6,852.80 = 2,101.71 : x
  2. Step 2: Convert to fraction form
    4,571.99/6,852.80 = 2,101.71/x
  3. Step 3: Cross multiply
    4,571.99x = 6,852.80 × 2,101.71
  4. Step 4: Simplify right side
    4,571.99x = 14,402,564.02
  5. Step 5: Solve for x
    x = 14,402,564.02/4,571.99
  6. Step 6: Final answer
    x = 3,150.18

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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.