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Finding the Fourth Proportional to 3,567.63, 5,345.04 and 2,106

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Solution

The fourth proportional to 3,567.63, 5,345.04 and 2,106 is: 3,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.63 : 5,345.04 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,567.63/5,345.04 = 2,106/x
  3. Step 3: Cross multiply
    3,567.63x = 5,345.04 × 2,106
  4. Step 4: Simplify right side
    3,567.63x = 11,256,654.24
  5. Step 5: Solve for x
    x = 11,256,654.24/3,567.63
  6. Step 6: Final answer
    x = 3,155.22

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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.