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Finding the Fourth Proportional to 5,541.40, 8,312.10 and 2,031.40

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Solution

The fourth proportional to 5,541.40, 8,312.10 and 2,031.40 is: 3,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.40 : 8,312.10 = 2,031.40 : x
  2. Step 2: Convert to fraction form
    5,541.40/8,312.10 = 2,031.40/x
  3. Step 3: Cross multiply
    5,541.40x = 8,312.10 × 2,031.40
  4. Step 4: Simplify right side
    5,541.40x = 16,885,199.94
  5. Step 5: Solve for x
    x = 16,885,199.94/5,541.40
  6. Step 6: Final answer
    x = 3,047.10

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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.