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Finding the Fourth Proportional to 4,769.64, 7,116.39 and 4,068.36

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Solution

The fourth proportional to 4,769.64, 7,116.39 and 4,068.36 is: 6,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.64 : 7,116.39 = 4,068.36 : x
  2. Step 2: Convert to fraction form
    4,769.64/7,116.39 = 4,068.36/x
  3. Step 3: Cross multiply
    4,769.64x = 7,116.39 × 4,068.36
  4. Step 4: Simplify right side
    4,769.64x = 28,952,036.42
  5. Step 5: Solve for x
    x = 28,952,036.42/4,769.64
  6. Step 6: Final answer
    x = 6,070.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.