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Finding the Fourth Proportional to 4,538.76, 6,776.37 and 4,260.66

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Solution

The fourth proportional to 4,538.76, 6,776.37 and 4,260.66 is: 6,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.76 : 6,776.37 = 4,260.66 : x
  2. Step 2: Convert to fraction form
    4,538.76/6,776.37 = 4,260.66/x
  3. Step 3: Cross multiply
    4,538.76x = 6,776.37 × 4,260.66
  4. Step 4: Simplify right side
    4,538.76x = 28,871,808.60
  5. Step 5: Solve for x
    x = 28,871,808.60/4,538.76
  6. Step 6: Final answer
    x = 6,361.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.