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Finding the Fourth Proportional to 4,340.36, 5,989.02 and 2,477

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Solution

The fourth proportional to 4,340.36, 5,989.02 and 2,477 is: 3,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.36 : 5,989.02 = 2,477 : x
  2. Step 2: Convert to fraction form
    4,340.36/5,989.02 = 2,477/x
  3. Step 3: Cross multiply
    4,340.36x = 5,989.02 × 2,477
  4. Step 4: Simplify right side
    4,340.36x = 14,834,802.54
  5. Step 5: Solve for x
    x = 14,834,802.54/4,340.36
  6. Step 6: Final answer
    x = 3,417.87

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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.