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Finding the Fourth Proportional to 4,761.40, 6,557.22 and 4,659.64

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Solution

The fourth proportional to 4,761.40, 6,557.22 and 4,659.64 is: 6,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.40 : 6,557.22 = 4,659.64 : x
  2. Step 2: Convert to fraction form
    4,761.40/6,557.22 = 4,659.64/x
  3. Step 3: Cross multiply
    4,761.40x = 6,557.22 × 4,659.64
  4. Step 4: Simplify right side
    4,761.40x = 30,554,284.60
  5. Step 5: Solve for x
    x = 30,554,284.60/4,761.40
  6. Step 6: Final answer
    x = 6,417.08

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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.