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Finding the Fourth Proportional to 4,671.36, 7,006.16 and 1,749.04

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Solution

The fourth proportional to 4,671.36, 7,006.16 and 1,749.04 is: 2,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.36 : 7,006.16 = 1,749.04 : x
  2. Step 2: Convert to fraction form
    4,671.36/7,006.16 = 1,749.04/x
  3. Step 3: Cross multiply
    4,671.36x = 7,006.16 × 1,749.04
  4. Step 4: Simplify right side
    4,671.36x = 12,254,054.09
  5. Step 5: Solve for x
    x = 12,254,054.09/4,671.36
  6. Step 6: Final answer
    x = 2,623.23

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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.