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Finding the Fourth Proportional to 6,337.80, 8,746.02 and 3,543.30

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Solution

The fourth proportional to 6,337.80, 8,746.02 and 3,543.30 is: 4,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.80 : 8,746.02 = 3,543.30 : x
  2. Step 2: Convert to fraction form
    6,337.80/8,746.02 = 3,543.30/x
  3. Step 3: Cross multiply
    6,337.80x = 8,746.02 × 3,543.30
  4. Step 4: Simplify right side
    6,337.80x = 30,989,772.67
  5. Step 5: Solve for x
    x = 30,989,772.67/6,337.80
  6. Step 6: Final answer
    x = 4,889.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.