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Finding the Fourth Proportional to 3,271.90, 4,909.20 and 3,013.40

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Solution

The fourth proportional to 3,271.90, 4,909.20 and 3,013.40 is: 4,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.90 : 4,909.20 = 3,013.40 : x
  2. Step 2: Convert to fraction form
    3,271.90/4,909.20 = 3,013.40/x
  3. Step 3: Cross multiply
    3,271.90x = 4,909.20 × 3,013.40
  4. Step 4: Simplify right side
    3,271.90x = 14,793,383.28
  5. Step 5: Solve for x
    x = 14,793,383.28/3,271.90
  6. Step 6: Final answer
    x = 4,521.34

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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.