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Finding the Fourth Proportional to 4,792.29, 7,194.50 and 4,595.46

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Solution

The fourth proportional to 4,792.29, 7,194.50 and 4,595.46 is: 6,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.29 : 7,194.50 = 4,595.46 : x
  2. Step 2: Convert to fraction form
    4,792.29/7,194.50 = 4,595.46/x
  3. Step 3: Cross multiply
    4,792.29x = 7,194.50 × 4,595.46
  4. Step 4: Simplify right side
    4,792.29x = 33,062,036.97
  5. Step 5: Solve for x
    x = 33,062,036.97/4,792.29
  6. Step 6: Final answer
    x = 6,899.01

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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.