Home / 4,678.38-6,456.10-2,582.37

Finding the Fourth Proportional to 4,678.38, 6,456.10 and 2,582.37

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Solution

The fourth proportional to 4,678.38, 6,456.10 and 2,582.37 is: 3,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.38 : 6,456.10 = 2,582.37 : x
  2. Step 2: Convert to fraction form
    4,678.38/6,456.10 = 2,582.37/x
  3. Step 3: Cross multiply
    4,678.38x = 6,456.10 × 2,582.37
  4. Step 4: Simplify right side
    4,678.38x = 16,672,038.96
  5. Step 5: Solve for x
    x = 16,672,038.96/4,678.38
  6. Step 6: Final answer
    x = 3,563.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.