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Finding the Fourth Proportional to 4,535, 6,804.92 and 1,937.34

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Solution

The fourth proportional to 4,535, 6,804.92 and 1,937.34 is: 2,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535 : 6,804.92 = 1,937.34 : x
  2. Step 2: Convert to fraction form
    4,535/6,804.92 = 1,937.34/x
  3. Step 3: Cross multiply
    4,535x = 6,804.92 × 1,937.34
  4. Step 4: Simplify right side
    4,535x = 13,183,443.71
  5. Step 5: Solve for x
    x = 13,183,443.71/4,535
  6. Step 6: Final answer
    x = 2,907.04

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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.