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Finding the Fourth Proportional to 4,678.70, 6,456.70 and 2,582.82

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Solution

The fourth proportional to 4,678.70, 6,456.70 and 2,582.82 is: 3,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.70 : 6,456.70 = 2,582.82 : x
  2. Step 2: Convert to fraction form
    4,678.70/6,456.70 = 2,582.82/x
  3. Step 3: Cross multiply
    4,678.70x = 6,456.70 × 2,582.82
  4. Step 4: Simplify right side
    4,678.70x = 16,676,493.89
  5. Step 5: Solve for x
    x = 16,676,493.89/4,678.70
  6. Step 6: Final answer
    x = 3,564.34

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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.