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Finding the Fourth Proportional to 4,654.77, 6,423.46 and 2,530.24

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Solution

The fourth proportional to 4,654.77, 6,423.46 and 2,530.24 is: 3,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.77 : 6,423.46 = 2,530.24 : x
  2. Step 2: Convert to fraction form
    4,654.77/6,423.46 = 2,530.24/x
  3. Step 3: Cross multiply
    4,654.77x = 6,423.46 × 2,530.24
  4. Step 4: Simplify right side
    4,654.77x = 16,252,895.43
  5. Step 5: Solve for x
    x = 16,252,895.43/4,654.77
  6. Step 6: Final answer
    x = 3,491.66

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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.