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Finding the Fourth Proportional to 4,775.34, 7,155.42 and 3,539.69

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Solution

The fourth proportional to 4,775.34, 7,155.42 and 3,539.69 is: 5,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.34 : 7,155.42 = 3,539.69 : x
  2. Step 2: Convert to fraction form
    4,775.34/7,155.42 = 3,539.69/x
  3. Step 3: Cross multiply
    4,775.34x = 7,155.42 × 3,539.69
  4. Step 4: Simplify right side
    4,775.34x = 25,327,968.62
  5. Step 5: Solve for x
    x = 25,327,968.62/4,775.34
  6. Step 6: Final answer
    x = 5,303.91

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