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Finding the Fourth Proportional to 4,678.80, 6,459.84 and 2,913

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Solution

The fourth proportional to 4,678.80, 6,459.84 and 2,913 is: 4,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.80 : 6,459.84 = 2,913 : x
  2. Step 2: Convert to fraction form
    4,678.80/6,459.84 = 2,913/x
  3. Step 3: Cross multiply
    4,678.80x = 6,459.84 × 2,913
  4. Step 4: Simplify right side
    4,678.80x = 18,817,513.92
  5. Step 5: Solve for x
    x = 18,817,513.92/4,678.80
  6. Step 6: Final answer
    x = 4,021.87

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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.