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Finding the Fourth Proportional to 5,341.04, 8,009.12 and 1,641.98

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Solution

The fourth proportional to 5,341.04, 8,009.12 and 1,641.98 is: 2,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.04 : 8,009.12 = 1,641.98 : x
  2. Step 2: Convert to fraction form
    5,341.04/8,009.12 = 1,641.98/x
  3. Step 3: Cross multiply
    5,341.04x = 8,009.12 × 1,641.98
  4. Step 4: Simplify right side
    5,341.04x = 13,150,814.86
  5. Step 5: Solve for x
    x = 13,150,814.86/5,341.04
  6. Step 6: Final answer
    x = 2,462.22

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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.