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Finding the Fourth Proportional to 5,411.55, 8,123.40 and 4,184.40

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Solution

The fourth proportional to 5,411.55, 8,123.40 and 4,184.40 is: 6,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.55 : 8,123.40 = 4,184.40 : x
  2. Step 2: Convert to fraction form
    5,411.55/8,123.40 = 4,184.40/x
  3. Step 3: Cross multiply
    5,411.55x = 8,123.40 × 4,184.40
  4. Step 4: Simplify right side
    5,411.55x = 33,991,554.96
  5. Step 5: Solve for x
    x = 33,991,554.96/5,411.55
  6. Step 6: Final answer
    x = 6,281.30

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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.