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Finding the Fourth Proportional to 4,756.39, 6,564.24 and 2,740.10

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Solution

The fourth proportional to 4,756.39, 6,564.24 and 2,740.10 is: 3,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.39 : 6,564.24 = 2,740.10 : x
  2. Step 2: Convert to fraction form
    4,756.39/6,564.24 = 2,740.10/x
  3. Step 3: Cross multiply
    4,756.39x = 6,564.24 × 2,740.10
  4. Step 4: Simplify right side
    4,756.39x = 17,986,641.20
  5. Step 5: Solve for x
    x = 17,986,641.20/4,756.39
  6. Step 6: Final answer
    x = 3,781.58

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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.