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Finding the Fourth Proportional to 5,160, 7,740.96 and 2,424

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Solution

The fourth proportional to 5,160, 7,740.96 and 2,424 is: 3,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160 : 7,740.96 = 2,424 : x
  2. Step 2: Convert to fraction form
    5,160/7,740.96 = 2,424/x
  3. Step 3: Cross multiply
    5,160x = 7,740.96 × 2,424
  4. Step 4: Simplify right side
    5,160x = 18,764,087.04
  5. Step 5: Solve for x
    x = 18,764,087.04/5,160
  6. Step 6: Final answer
    x = 3,636.45

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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.