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Finding the Fourth Proportional to 4,615.50, 6,925.28 and 2,423.72

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Solution

The fourth proportional to 4,615.50, 6,925.28 and 2,423.72 is: 3,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.50 : 6,925.28 = 2,423.72 : x
  2. Step 2: Convert to fraction form
    4,615.50/6,925.28 = 2,423.72/x
  3. Step 3: Cross multiply
    4,615.50x = 6,925.28 × 2,423.72
  4. Step 4: Simplify right side
    4,615.50x = 16,784,892.90
  5. Step 5: Solve for x
    x = 16,784,892.90/4,615.50
  6. Step 6: Final answer
    x = 3,636.64

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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.