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Finding the Fourth Proportional to 4,323.60, 6,485.76 and 1,401.96

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Solution

The fourth proportional to 4,323.60, 6,485.76 and 1,401.96 is: 2,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.60 : 6,485.76 = 1,401.96 : x
  2. Step 2: Convert to fraction form
    4,323.60/6,485.76 = 1,401.96/x
  3. Step 3: Cross multiply
    4,323.60x = 6,485.76 × 1,401.96
  4. Step 4: Simplify right side
    4,323.60x = 9,092,776.09
  5. Step 5: Solve for x
    x = 9,092,776.09/4,323.60
  6. Step 6: Final answer
    x = 2,103.06

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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.