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Finding the Fourth Proportional to 4,676.16, 6,455.64 and 3,415.92

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Solution

The fourth proportional to 4,676.16, 6,455.64 and 3,415.92 is: 4,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.16 : 6,455.64 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    4,676.16/6,455.64 = 3,415.92/x
  3. Step 3: Cross multiply
    4,676.16x = 6,455.64 × 3,415.92
  4. Step 4: Simplify right side
    4,676.16x = 22,051,949.79
  5. Step 5: Solve for x
    x = 22,051,949.79/4,676.16
  6. Step 6: Final answer
    x = 4,715.82

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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.