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Finding the Fourth Proportional to 5,941.32, 8,909.10 and 2,429.93

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Solution

The fourth proportional to 5,941.32, 8,909.10 and 2,429.93 is: 3,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.32 : 8,909.10 = 2,429.93 : x
  2. Step 2: Convert to fraction form
    5,941.32/8,909.10 = 2,429.93/x
  3. Step 3: Cross multiply
    5,941.32x = 8,909.10 × 2,429.93
  4. Step 4: Simplify right side
    5,941.32x = 21,648,489.36
  5. Step 5: Solve for x
    x = 21,648,489.36/5,941.32
  6. Step 6: Final answer
    x = 3,643.72

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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.