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Finding the Fourth Proportional to 6,405.60, 9,609.04 and 2,300.64

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Solution

The fourth proportional to 6,405.60, 9,609.04 and 2,300.64 is: 3,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.60 : 9,609.04 = 2,300.64 : x
  2. Step 2: Convert to fraction form
    6,405.60/9,609.04 = 2,300.64/x
  3. Step 3: Cross multiply
    6,405.60x = 9,609.04 × 2,300.64
  4. Step 4: Simplify right side
    6,405.60x = 22,106,941.79
  5. Step 5: Solve for x
    x = 22,106,941.79/6,405.60
  6. Step 6: Final answer
    x = 3,451.19

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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.