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Finding the Fourth Proportional to 4,534, 6,802.14 and 1,456

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Solution

The fourth proportional to 4,534, 6,802.14 and 1,456 is: 2,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534 : 6,802.14 = 1,456 : x
  2. Step 2: Convert to fraction form
    4,534/6,802.14 = 1,456/x
  3. Step 3: Cross multiply
    4,534x = 6,802.14 × 1,456
  4. Step 4: Simplify right side
    4,534x = 9,903,915.84
  5. Step 5: Solve for x
    x = 9,903,915.84/4,534
  6. Step 6: Final answer
    x = 2,184.37

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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.