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Finding the Fourth Proportional to 4,654.34, 6,423.01 and 2,558.60

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Solution

The fourth proportional to 4,654.34, 6,423.01 and 2,558.60 is: 3,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.34 : 6,423.01 = 2,558.60 : x
  2. Step 2: Convert to fraction form
    4,654.34/6,423.01 = 2,558.60/x
  3. Step 3: Cross multiply
    4,654.34x = 6,423.01 × 2,558.60
  4. Step 4: Simplify right side
    4,654.34x = 16,433,913.39
  5. Step 5: Solve for x
    x = 16,433,913.39/4,654.34
  6. Step 6: Final answer
    x = 3,530.88

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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.