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Finding the Fourth Proportional to 2,975.34, 4,076.16 and 2,864.58

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Solution

The fourth proportional to 2,975.34, 4,076.16 and 2,864.58 is: 3,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.34 : 4,076.16 = 2,864.58 : x
  2. Step 2: Convert to fraction form
    2,975.34/4,076.16 = 2,864.58/x
  3. Step 3: Cross multiply
    2,975.34x = 4,076.16 × 2,864.58
  4. Step 4: Simplify right side
    2,975.34x = 11,676,486.41
  5. Step 5: Solve for x
    x = 11,676,486.41/2,975.34
  6. Step 6: Final answer
    x = 3,924.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.