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Finding the Fourth Proportional to 5,068.80, 7,602.82 and 1,781.92

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Solution

The fourth proportional to 5,068.80, 7,602.82 and 1,781.92 is: 2,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.80 : 7,602.82 = 1,781.92 : x
  2. Step 2: Convert to fraction form
    5,068.80/7,602.82 = 1,781.92/x
  3. Step 3: Cross multiply
    5,068.80x = 7,602.82 × 1,781.92
  4. Step 4: Simplify right side
    5,068.80x = 13,547,617.01
  5. Step 5: Solve for x
    x = 13,547,617.01/5,068.80
  6. Step 6: Final answer
    x = 2,672.75

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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.