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Finding the Fourth Proportional to 4,927.53, 7,386.30 and 4,208.25

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Solution

The fourth proportional to 4,927.53, 7,386.30 and 4,208.25 is: 6,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.53 : 7,386.30 = 4,208.25 : x
  2. Step 2: Convert to fraction form
    4,927.53/7,386.30 = 4,208.25/x
  3. Step 3: Cross multiply
    4,927.53x = 7,386.30 × 4,208.25
  4. Step 4: Simplify right side
    4,927.53x = 31,083,396.98
  5. Step 5: Solve for x
    x = 31,083,396.98/4,927.53
  6. Step 6: Final answer
    x = 6,308.11

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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.