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Finding the Fourth Proportional to 5,534.16, 8,302.86 and 1,638.67

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Solution

The fourth proportional to 5,534.16, 8,302.86 and 1,638.67 is: 2,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.16 : 8,302.86 = 1,638.67 : x
  2. Step 2: Convert to fraction form
    5,534.16/8,302.86 = 1,638.67/x
  3. Step 3: Cross multiply
    5,534.16x = 8,302.86 × 1,638.67
  4. Step 4: Simplify right side
    5,534.16x = 13,605,647.60
  5. Step 5: Solve for x
    x = 13,605,647.60/5,534.16
  6. Step 6: Final answer
    x = 2,458.48

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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.