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Finding the Fourth Proportional to 5,367.60, 8,051.50 and 1,669.07

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Solution

The fourth proportional to 5,367.60, 8,051.50 and 1,669.07 is: 2,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.60 : 8,051.50 = 1,669.07 : x
  2. Step 2: Convert to fraction form
    5,367.60/8,051.50 = 1,669.07/x
  3. Step 3: Cross multiply
    5,367.60x = 8,051.50 × 1,669.07
  4. Step 4: Simplify right side
    5,367.60x = 13,438,539.32
  5. Step 5: Solve for x
    x = 13,438,539.32/5,367.60
  6. Step 6: Final answer
    x = 2,503.64

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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.