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Finding the Fourth Proportional to 3,497.12, 4,826.68 and 2,656.32

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Solution

The fourth proportional to 3,497.12, 4,826.68 and 2,656.32 is: 3,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.12 : 4,826.68 = 2,656.32 : x
  2. Step 2: Convert to fraction form
    3,497.12/4,826.68 = 2,656.32/x
  3. Step 3: Cross multiply
    3,497.12x = 4,826.68 × 2,656.32
  4. Step 4: Simplify right side
    3,497.12x = 12,821,206.62
  5. Step 5: Solve for x
    x = 12,821,206.62/3,497.12
  6. Step 6: Final answer
    x = 3,666.22

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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.