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Finding the Fourth Proportional to 4,484.59, 6,736.59 and 3,792.64

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Solution

The fourth proportional to 4,484.59, 6,736.59 and 3,792.64 is: 5,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.59 : 6,736.59 = 3,792.64 : x
  2. Step 2: Convert to fraction form
    4,484.59/6,736.59 = 3,792.64/x
  3. Step 3: Cross multiply
    4,484.59x = 6,736.59 × 3,792.64
  4. Step 4: Simplify right side
    4,484.59x = 25,549,460.70
  5. Step 5: Solve for x
    x = 25,549,460.70/4,484.59
  6. Step 6: Final answer
    x = 5,697.17

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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.