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Finding the Fourth Proportional to 4,715.40, 6,509.28 and 2,946.64

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Solution

The fourth proportional to 4,715.40, 6,509.28 and 2,946.64 is: 4,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.40 : 6,509.28 = 2,946.64 : x
  2. Step 2: Convert to fraction form
    4,715.40/6,509.28 = 2,946.64/x
  3. Step 3: Cross multiply
    4,715.40x = 6,509.28 × 2,946.64
  4. Step 4: Simplify right side
    4,715.40x = 19,180,504.82
  5. Step 5: Solve for x
    x = 19,180,504.82/4,715.40
  6. Step 6: Final answer
    x = 4,067.63

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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.