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Finding the Fourth Proportional to 4,695.80, 6,480 and 2,571.28

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Solution

The fourth proportional to 4,695.80, 6,480 and 2,571.28 is: 3,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.80 : 6,480 = 2,571.28 : x
  2. Step 2: Convert to fraction form
    4,695.80/6,480 = 2,571.28/x
  3. Step 3: Cross multiply
    4,695.80x = 6,480 × 2,571.28
  4. Step 4: Simplify right side
    4,695.80x = 16,661,894.40
  5. Step 5: Solve for x
    x = 16,661,894.40/4,695.80
  6. Step 6: Final answer
    x = 3,548.25

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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.