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Finding the Fourth Proportional to 3,421.61, 5,132.43 and 1,572.68

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Solution

The fourth proportional to 3,421.61, 5,132.43 and 1,572.68 is: 2,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.61 : 5,132.43 = 1,572.68 : x
  2. Step 2: Convert to fraction form
    3,421.61/5,132.43 = 1,572.68/x
  3. Step 3: Cross multiply
    3,421.61x = 5,132.43 × 1,572.68
  4. Step 4: Simplify right side
    3,421.61x = 8,071,682.84
  5. Step 5: Solve for x
    x = 8,071,682.84/3,421.61
  6. Step 6: Final answer
    x = 2,359.03

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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.