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Finding the Fourth Proportional to 5,658.10, 8,478.48 and 2,880.61

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Solution

The fourth proportional to 5,658.10, 8,478.48 and 2,880.61 is: 4,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.10 : 8,478.48 = 2,880.61 : x
  2. Step 2: Convert to fraction form
    5,658.10/8,478.48 = 2,880.61/x
  3. Step 3: Cross multiply
    5,658.10x = 8,478.48 × 2,880.61
  4. Step 4: Simplify right side
    5,658.10x = 24,423,194.27
  5. Step 5: Solve for x
    x = 24,423,194.27/5,658.10
  6. Step 6: Final answer
    x = 4,316.50

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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.