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Finding the Fourth Proportional to 3,421.56, 4,740.87 and 3,347.80

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Solution

The fourth proportional to 3,421.56, 4,740.87 and 3,347.80 is: 4,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.56 : 4,740.87 = 3,347.80 : x
  2. Step 2: Convert to fraction form
    3,421.56/4,740.87 = 3,347.80/x
  3. Step 3: Cross multiply
    3,421.56x = 4,740.87 × 3,347.80
  4. Step 4: Simplify right side
    3,421.56x = 15,871,484.59
  5. Step 5: Solve for x
    x = 15,871,484.59/3,421.56
  6. Step 6: Final answer
    x = 4,638.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.