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Finding the Fourth Proportional to 4,354.61, 5,998.30 and 4,052.87

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Solution

The fourth proportional to 4,354.61, 5,998.30 and 4,052.87 is: 5,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.61 : 5,998.30 = 4,052.87 : x
  2. Step 2: Convert to fraction form
    4,354.61/5,998.30 = 4,052.87/x
  3. Step 3: Cross multiply
    4,354.61x = 5,998.30 × 4,052.87
  4. Step 4: Simplify right side
    4,354.61x = 24,310,312.49
  5. Step 5: Solve for x
    x = 24,310,312.49/4,354.61
  6. Step 6: Final answer
    x = 5,582.67

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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.