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Finding the Fourth Proportional to 4,543.60, 6,806.40 and 4,002.40

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Solution

The fourth proportional to 4,543.60, 6,806.40 and 4,002.40 is: 5,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.60 : 6,806.40 = 4,002.40 : x
  2. Step 2: Convert to fraction form
    4,543.60/6,806.40 = 4,002.40/x
  3. Step 3: Cross multiply
    4,543.60x = 6,806.40 × 4,002.40
  4. Step 4: Simplify right side
    4,543.60x = 27,241,935.36
  5. Step 5: Solve for x
    x = 27,241,935.36/4,543.60
  6. Step 6: Final answer
    x = 5,995.67

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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.