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Finding the Fourth Proportional to 4,171.72, 6,259.32 and 1,830.51

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Solution

The fourth proportional to 4,171.72, 6,259.32 and 1,830.51 is: 2,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.72 : 6,259.32 = 1,830.51 : x
  2. Step 2: Convert to fraction form
    4,171.72/6,259.32 = 1,830.51/x
  3. Step 3: Cross multiply
    4,171.72x = 6,259.32 × 1,830.51
  4. Step 4: Simplify right side
    4,171.72x = 11,457,763.50
  5. Step 5: Solve for x
    x = 11,457,763.50/4,171.72
  6. Step 6: Final answer
    x = 2,746.53

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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.