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Finding the Fourth Proportional to 5,068.27, 7,602.81 and 1,782.10

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Solution

The fourth proportional to 5,068.27, 7,602.81 and 1,782.10 is: 2,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.27 : 7,602.81 = 1,782.10 : x
  2. Step 2: Convert to fraction form
    5,068.27/7,602.81 = 1,782.10/x
  3. Step 3: Cross multiply
    5,068.27x = 7,602.81 × 1,782.10
  4. Step 4: Simplify right side
    5,068.27x = 13,548,970.52
  5. Step 5: Solve for x
    x = 13,548,970.52/5,068.27
  6. Step 6: Final answer
    x = 2,673.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.