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Finding the Fourth Proportional to 4,052.80, 6,074.94 and 1,712.32

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Solution

The fourth proportional to 4,052.80, 6,074.94 and 1,712.32 is: 2,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.80 : 6,074.94 = 1,712.32 : x
  2. Step 2: Convert to fraction form
    4,052.80/6,074.94 = 1,712.32/x
  3. Step 3: Cross multiply
    4,052.80x = 6,074.94 × 1,712.32
  4. Step 4: Simplify right side
    4,052.80x = 10,402,241.26
  5. Step 5: Solve for x
    x = 10,402,241.26/4,052.80
  6. Step 6: Final answer
    x = 2,566.68

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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.