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Finding the Fourth Proportional to 4,645.84, 6,410.72 and 2,656.64

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Solution

The fourth proportional to 4,645.84, 6,410.72 and 2,656.64 is: 3,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.84 : 6,410.72 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    4,645.84/6,410.72 = 2,656.64/x
  3. Step 3: Cross multiply
    4,645.84x = 6,410.72 × 2,656.64
  4. Step 4: Simplify right side
    4,645.84x = 17,030,975.18
  5. Step 5: Solve for x
    x = 17,030,975.18/4,645.84
  6. Step 6: Final answer
    x = 3,665.85

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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.