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Finding the Fourth Proportional to 5,265.79, 7,880.10 and 4,966.06

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Solution

The fourth proportional to 5,265.79, 7,880.10 and 4,966.06 is: 7,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.79 : 7,880.10 = 4,966.06 : x
  2. Step 2: Convert to fraction form
    5,265.79/7,880.10 = 4,966.06/x
  3. Step 3: Cross multiply
    5,265.79x = 7,880.10 × 4,966.06
  4. Step 4: Simplify right side
    5,265.79x = 39,133,053.79
  5. Step 5: Solve for x
    x = 39,133,053.79/5,265.79
  6. Step 6: Final answer
    x = 7,431.56

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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.