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Finding the Fourth Proportional to 4,852.53, 6,696.54 and 2,756.25

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Solution

The fourth proportional to 4,852.53, 6,696.54 and 2,756.25 is: 3,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.53 : 6,696.54 = 2,756.25 : x
  2. Step 2: Convert to fraction form
    4,852.53/6,696.54 = 2,756.25/x
  3. Step 3: Cross multiply
    4,852.53x = 6,696.54 × 2,756.25
  4. Step 4: Simplify right side
    4,852.53x = 18,457,338.38
  5. Step 5: Solve for x
    x = 18,457,338.38/4,852.53
  6. Step 6: Final answer
    x = 3,803.65

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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.