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Finding the Fourth Proportional to 6,406.31, 8,840.51 and 3,573.75

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Solution

The fourth proportional to 6,406.31, 8,840.51 and 3,573.75 is: 4,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.31 : 8,840.51 = 3,573.75 : x
  2. Step 2: Convert to fraction form
    6,406.31/8,840.51 = 3,573.75/x
  3. Step 3: Cross multiply
    6,406.31x = 8,840.51 × 3,573.75
  4. Step 4: Simplify right side
    6,406.31x = 31,593,754.74
  5. Step 5: Solve for x
    x = 31,593,754.74/6,406.31
  6. Step 6: Final answer
    x = 4,931.67

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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.