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Finding the Fourth Proportional to 3,455.34, 4,771.35 and 2,962.86

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Solution

The fourth proportional to 3,455.34, 4,771.35 and 2,962.86 is: 4,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.34 : 4,771.35 = 2,962.86 : x
  2. Step 2: Convert to fraction form
    3,455.34/4,771.35 = 2,962.86/x
  3. Step 3: Cross multiply
    3,455.34x = 4,771.35 × 2,962.86
  4. Step 4: Simplify right side
    3,455.34x = 14,136,842.06
  5. Step 5: Solve for x
    x = 14,136,842.06/3,455.34
  6. Step 6: Final answer
    x = 4,091.30

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