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Finding the Fourth Proportional to 4,599.60, 6,861.14 and 4,156.72

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Solution

The fourth proportional to 4,599.60, 6,861.14 and 4,156.72 is: 6,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.60 : 6,861.14 = 4,156.72 : x
  2. Step 2: Convert to fraction form
    4,599.60/6,861.14 = 4,156.72/x
  3. Step 3: Cross multiply
    4,599.60x = 6,861.14 × 4,156.72
  4. Step 4: Simplify right side
    4,599.60x = 28,519,837.86
  5. Step 5: Solve for x
    x = 28,519,837.86/4,599.60
  6. Step 6: Final answer
    x = 6,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.