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Finding the Fourth Proportional to 4,088.92, 6,133.01 and 1,623.10

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Solution

The fourth proportional to 4,088.92, 6,133.01 and 1,623.10 is: 2,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.92 : 6,133.01 = 1,623.10 : x
  2. Step 2: Convert to fraction form
    4,088.92/6,133.01 = 1,623.10/x
  3. Step 3: Cross multiply
    4,088.92x = 6,133.01 × 1,623.10
  4. Step 4: Simplify right side
    4,088.92x = 9,954,488.53
  5. Step 5: Solve for x
    x = 9,954,488.53/4,088.92
  6. Step 6: Final answer
    x = 2,434.50

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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.