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Finding the Fourth Proportional to 5,779.14, 7,975.08 and 3,421.32

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Solution

The fourth proportional to 5,779.14, 7,975.08 and 3,421.32 is: 4,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.14 : 7,975.08 = 3,421.32 : x
  2. Step 2: Convert to fraction form
    5,779.14/7,975.08 = 3,421.32/x
  3. Step 3: Cross multiply
    5,779.14x = 7,975.08 × 3,421.32
  4. Step 4: Simplify right side
    5,779.14x = 27,285,300.71
  5. Step 5: Solve for x
    x = 27,285,300.71/5,779.14
  6. Step 6: Final answer
    x = 4,721.34

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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.