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Finding the Fourth Proportional to 3,421.75, 5,130.58 and 1,663.30

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Solution

The fourth proportional to 3,421.75, 5,130.58 and 1,663.30 is: 2,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.75 : 5,130.58 = 1,663.30 : x
  2. Step 2: Convert to fraction form
    3,421.75/5,130.58 = 1,663.30/x
  3. Step 3: Cross multiply
    3,421.75x = 5,130.58 × 1,663.30
  4. Step 4: Simplify right side
    3,421.75x = 8,533,693.71
  5. Step 5: Solve for x
    x = 8,533,693.71/3,421.75
  6. Step 6: Final answer
    x = 2,493.96

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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.