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Finding the Fourth Proportional to 4,322.74, 6,484.50 and 2,602.30

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Solution

The fourth proportional to 4,322.74, 6,484.50 and 2,602.30 is: 3,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.74 : 6,484.50 = 2,602.30 : x
  2. Step 2: Convert to fraction form
    4,322.74/6,484.50 = 2,602.30/x
  3. Step 3: Cross multiply
    4,322.74x = 6,484.50 × 2,602.30
  4. Step 4: Simplify right side
    4,322.74x = 16,874,614.35
  5. Step 5: Solve for x
    x = 16,874,614.35/4,322.74
  6. Step 6: Final answer
    x = 3,903.68

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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.