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Finding the Fourth Proportional to 4,710.40, 6,500.16 and 2,720.62

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Solution

The fourth proportional to 4,710.40, 6,500.16 and 2,720.62 is: 3,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.40 : 6,500.16 = 2,720.62 : x
  2. Step 2: Convert to fraction form
    4,710.40/6,500.16 = 2,720.62/x
  3. Step 3: Cross multiply
    4,710.40x = 6,500.16 × 2,720.62
  4. Step 4: Simplify right side
    4,710.40x = 17,684,465.30
  5. Step 5: Solve for x
    x = 17,684,465.30/4,710.40
  6. Step 6: Final answer
    x = 3,754.34

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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.