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Finding the Fourth Proportional to 4,539.32, 6,809.16 and 1,421.42

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Solution

The fourth proportional to 4,539.32, 6,809.16 and 1,421.42 is: 2,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.32 : 6,809.16 = 1,421.42 : x
  2. Step 2: Convert to fraction form
    4,539.32/6,809.16 = 1,421.42/x
  3. Step 3: Cross multiply
    4,539.32x = 6,809.16 × 1,421.42
  4. Step 4: Simplify right side
    4,539.32x = 9,678,676.21
  5. Step 5: Solve for x
    x = 9,678,676.21/4,539.32
  6. Step 6: Final answer
    x = 2,132.19

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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.