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Finding the Fourth Proportional to 4,882, 7,276.64 and 4,597.96

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Solution

The fourth proportional to 4,882, 7,276.64 and 4,597.96 is: 6,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882 : 7,276.64 = 4,597.96 : x
  2. Step 2: Convert to fraction form
    4,882/7,276.64 = 4,597.96/x
  3. Step 3: Cross multiply
    4,882x = 7,276.64 × 4,597.96
  4. Step 4: Simplify right side
    4,882x = 33,457,699.65
  5. Step 5: Solve for x
    x = 33,457,699.65/4,882
  6. Step 6: Final answer
    x = 6,853.28

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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.