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Finding the Fourth Proportional to 4,678, 6,455.73 and 2,582.08

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Solution

The fourth proportional to 4,678, 6,455.73 and 2,582.08 is: 3,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 6,455.73 = 2,582.08 : x
  2. Step 2: Convert to fraction form
    4,678/6,455.73 = 2,582.08/x
  3. Step 3: Cross multiply
    4,678x = 6,455.73 × 2,582.08
  4. Step 4: Simplify right side
    4,678x = 16,669,211.32
  5. Step 5: Solve for x
    x = 16,669,211.32/4,678
  6. Step 6: Final answer
    x = 3,563.32

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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.