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Finding the Fourth Proportional to 4,595.54, 6,905.74 and 2,405.88

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Solution

The fourth proportional to 4,595.54, 6,905.74 and 2,405.88 is: 3,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.54 : 6,905.74 = 2,405.88 : x
  2. Step 2: Convert to fraction form
    4,595.54/6,905.74 = 2,405.88/x
  3. Step 3: Cross multiply
    4,595.54x = 6,905.74 × 2,405.88
  4. Step 4: Simplify right side
    4,595.54x = 16,614,381.75
  5. Step 5: Solve for x
    x = 16,614,381.75/4,595.54
  6. Step 6: Final answer
    x = 3,615.33

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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.