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Finding the Fourth Proportional to 5,298.96, 7,946.03 and 2,009.72

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Solution

The fourth proportional to 5,298.96, 7,946.03 and 2,009.72 is: 3,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.96 : 7,946.03 = 2,009.72 : x
  2. Step 2: Convert to fraction form
    5,298.96/7,946.03 = 2,009.72/x
  3. Step 3: Cross multiply
    5,298.96x = 7,946.03 × 2,009.72
  4. Step 4: Simplify right side
    5,298.96x = 15,969,295.41
  5. Step 5: Solve for x
    x = 15,969,295.41/5,298.96
  6. Step 6: Final answer
    x = 3,013.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.