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Finding the Fourth Proportional to 4,682.64, 6,459.30 and 3,005.40

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Solution

The fourth proportional to 4,682.64, 6,459.30 and 3,005.40 is: 4,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.64 : 6,459.30 = 3,005.40 : x
  2. Step 2: Convert to fraction form
    4,682.64/6,459.30 = 3,005.40/x
  3. Step 3: Cross multiply
    4,682.64x = 6,459.30 × 3,005.40
  4. Step 4: Simplify right side
    4,682.64x = 19,412,780.22
  5. Step 5: Solve for x
    x = 19,412,780.22/4,682.64
  6. Step 6: Final answer
    x = 4,145.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.