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Finding the Fourth Proportional to 3,860.34, 5,779.71 and 2,007.42

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Solution

The fourth proportional to 3,860.34, 5,779.71 and 2,007.42 is: 3,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.34 : 5,779.71 = 2,007.42 : x
  2. Step 2: Convert to fraction form
    3,860.34/5,779.71 = 2,007.42/x
  3. Step 3: Cross multiply
    3,860.34x = 5,779.71 × 2,007.42
  4. Step 4: Simplify right side
    3,860.34x = 11,602,305.45
  5. Step 5: Solve for x
    x = 11,602,305.45/3,860.34
  6. Step 6: Final answer
    x = 3,005.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.