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Finding the Fourth Proportional to 5,034.51, 6,946.19 and 3,043.62

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Solution

The fourth proportional to 5,034.51, 6,946.19 and 3,043.62 is: 4,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.51 : 6,946.19 = 3,043.62 : x
  2. Step 2: Convert to fraction form
    5,034.51/6,946.19 = 3,043.62/x
  3. Step 3: Cross multiply
    5,034.51x = 6,946.19 × 3,043.62
  4. Step 4: Simplify right side
    5,034.51x = 21,141,547.59
  5. Step 5: Solve for x
    x = 21,141,547.59/5,034.51
  6. Step 6: Final answer
    x = 4,199.33

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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.