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Finding the Fourth Proportional to 4,172.88, 6,260.38 and 1,575.84

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Solution

The fourth proportional to 4,172.88, 6,260.38 and 1,575.84 is: 2,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.88 : 6,260.38 = 1,575.84 : x
  2. Step 2: Convert to fraction form
    4,172.88/6,260.38 = 1,575.84/x
  3. Step 3: Cross multiply
    4,172.88x = 6,260.38 × 1,575.84
  4. Step 4: Simplify right side
    4,172.88x = 9,865,357.22
  5. Step 5: Solve for x
    x = 9,865,357.22/4,172.88
  6. Step 6: Final answer
    x = 2,364.16

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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.