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Finding the Fourth Proportional to 5,664.54, 7,814.88 and 4,176

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Solution

The fourth proportional to 5,664.54, 7,814.88 and 4,176 is: 5,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.54 : 7,814.88 = 4,176 : x
  2. Step 2: Convert to fraction form
    5,664.54/7,814.88 = 4,176/x
  3. Step 3: Cross multiply
    5,664.54x = 7,814.88 × 4,176
  4. Step 4: Simplify right side
    5,664.54x = 32,634,938.88
  5. Step 5: Solve for x
    x = 32,634,938.88/5,664.54
  6. Step 6: Final answer
    x = 5,761.27

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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.