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Finding the Fourth Proportional to 4,638.06, 6,959.88 and 2,559.42

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Solution

The fourth proportional to 4,638.06, 6,959.88 and 2,559.42 is: 3,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.06 : 6,959.88 = 2,559.42 : x
  2. Step 2: Convert to fraction form
    4,638.06/6,959.88 = 2,559.42/x
  3. Step 3: Cross multiply
    4,638.06x = 6,959.88 × 2,559.42
  4. Step 4: Simplify right side
    4,638.06x = 17,813,256.07
  5. Step 5: Solve for x
    x = 17,813,256.07/4,638.06
  6. Step 6: Final answer
    x = 3,840.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.