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Finding the Fourth Proportional to 3,428, 4,730.64 and 2,185.76

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Solution

The fourth proportional to 3,428, 4,730.64 and 2,185.76 is: 3,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428 : 4,730.64 = 2,185.76 : x
  2. Step 2: Convert to fraction form
    3,428/4,730.64 = 2,185.76/x
  3. Step 3: Cross multiply
    3,428x = 4,730.64 × 2,185.76
  4. Step 4: Simplify right side
    3,428x = 10,340,043.69
  5. Step 5: Solve for x
    x = 10,340,043.69/3,428
  6. Step 6: Final answer
    x = 3,016.35

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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.