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Finding the Fourth Proportional to 4,209.34, 5,808.42 and 2,530.42

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Solution

The fourth proportional to 4,209.34, 5,808.42 and 2,530.42 is: 3,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.34 : 5,808.42 = 2,530.42 : x
  2. Step 2: Convert to fraction form
    4,209.34/5,808.42 = 2,530.42/x
  3. Step 3: Cross multiply
    4,209.34x = 5,808.42 × 2,530.42
  4. Step 4: Simplify right side
    4,209.34x = 14,697,742.14
  5. Step 5: Solve for x
    x = 14,697,742.14/4,209.34
  6. Step 6: Final answer
    x = 3,491.70

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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.