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Finding the Fourth Proportional to 4,696.13, 6,480.75 and 2,571.74

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Solution

The fourth proportional to 4,696.13, 6,480.75 and 2,571.74 is: 3,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.13 : 6,480.75 = 2,571.74 : x
  2. Step 2: Convert to fraction form
    4,696.13/6,480.75 = 2,571.74/x
  3. Step 3: Cross multiply
    4,696.13x = 6,480.75 × 2,571.74
  4. Step 4: Simplify right side
    4,696.13x = 16,666,771.60
  5. Step 5: Solve for x
    x = 16,666,771.60/4,696.13
  6. Step 6: Final answer
    x = 3,549.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.