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Finding the Fourth Proportional to 3,374.84, 4,654.96 and 3,096

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Solution

The fourth proportional to 3,374.84, 4,654.96 and 3,096 is: 4,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.84 : 4,654.96 = 3,096 : x
  2. Step 2: Convert to fraction form
    3,374.84/4,654.96 = 3,096/x
  3. Step 3: Cross multiply
    3,374.84x = 4,654.96 × 3,096
  4. Step 4: Simplify right side
    3,374.84x = 14,411,756.16
  5. Step 5: Solve for x
    x = 14,411,756.16/3,374.84
  6. Step 6: Final answer
    x = 4,270.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.