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Finding the Fourth Proportional to 4,598, 6,343.28 and 3,599.28

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Solution

The fourth proportional to 4,598, 6,343.28 and 3,599.28 is: 4,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598 : 6,343.28 = 3,599.28 : x
  2. Step 2: Convert to fraction form
    4,598/6,343.28 = 3,599.28/x
  3. Step 3: Cross multiply
    4,598x = 6,343.28 × 3,599.28
  4. Step 4: Simplify right side
    4,598x = 22,831,240.84
  5. Step 5: Solve for x
    x = 22,831,240.84/4,598
  6. Step 6: Final answer
    x = 4,965.47

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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.