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Finding the Fourth Proportional to 5,283.20, 7,942.80 and 4,316.32

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Solution

The fourth proportional to 5,283.20, 7,942.80 and 4,316.32 is: 6,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.20 : 7,942.80 = 4,316.32 : x
  2. Step 2: Convert to fraction form
    5,283.20/7,942.80 = 4,316.32/x
  3. Step 3: Cross multiply
    5,283.20x = 7,942.80 × 4,316.32
  4. Step 4: Simplify right side
    5,283.20x = 34,283,666.50
  5. Step 5: Solve for x
    x = 34,283,666.50/5,283.20
  6. Step 6: Final answer
    x = 6,489.19

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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.