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Finding the Fourth Proportional to 5,355.80, 8,024.10 and 4,741.40

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Solution

The fourth proportional to 5,355.80, 8,024.10 and 4,741.40 is: 7,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.80 : 8,024.10 = 4,741.40 : x
  2. Step 2: Convert to fraction form
    5,355.80/8,024.10 = 4,741.40/x
  3. Step 3: Cross multiply
    5,355.80x = 8,024.10 × 4,741.40
  4. Step 4: Simplify right side
    5,355.80x = 38,045,467.74
  5. Step 5: Solve for x
    x = 38,045,467.74/5,355.80
  6. Step 6: Final answer
    x = 7,103.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.