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Finding the Fourth Proportional to 3,420.79, 5,128.08 and 1,775.41

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Solution

The fourth proportional to 3,420.79, 5,128.08 and 1,775.41 is: 2,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.79 : 5,128.08 = 1,775.41 : x
  2. Step 2: Convert to fraction form
    3,420.79/5,128.08 = 1,775.41/x
  3. Step 3: Cross multiply
    3,420.79x = 5,128.08 × 1,775.41
  4. Step 4: Simplify right side
    3,420.79x = 9,104,444.51
  5. Step 5: Solve for x
    x = 9,104,444.51/3,420.79
  6. Step 6: Final answer
    x = 2,661.50

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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.