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Finding the Fourth Proportional to 4,892.70, 7,303.53 and 4,532.25

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Solution

The fourth proportional to 4,892.70, 7,303.53 and 4,532.25 is: 6,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.70 : 7,303.53 = 4,532.25 : x
  2. Step 2: Convert to fraction form
    4,892.70/7,303.53 = 4,532.25/x
  3. Step 3: Cross multiply
    4,892.70x = 7,303.53 × 4,532.25
  4. Step 4: Simplify right side
    4,892.70x = 33,101,423.84
  5. Step 5: Solve for x
    x = 33,101,423.84/4,892.70
  6. Step 6: Final answer
    x = 6,765.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.