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Finding the Fourth Proportional to 4,654.39, 6,423.12 and 2,558.50

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Solution

The fourth proportional to 4,654.39, 6,423.12 and 2,558.50 is: 3,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.39 : 6,423.12 = 2,558.50 : x
  2. Step 2: Convert to fraction form
    4,654.39/6,423.12 = 2,558.50/x
  3. Step 3: Cross multiply
    4,654.39x = 6,423.12 × 2,558.50
  4. Step 4: Simplify right side
    4,654.39x = 16,433,552.52
  5. Step 5: Solve for x
    x = 16,433,552.52/4,654.39
  6. Step 6: Final answer
    x = 3,530.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.