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Finding the Fourth Proportional to 5,068.38, 7,602.30 and 1,781.22

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Solution

The fourth proportional to 5,068.38, 7,602.30 and 1,781.22 is: 2,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.38 : 7,602.30 = 1,781.22 : x
  2. Step 2: Convert to fraction form
    5,068.38/7,602.30 = 1,781.22/x
  3. Step 3: Cross multiply
    5,068.38x = 7,602.30 × 1,781.22
  4. Step 4: Simplify right side
    5,068.38x = 13,541,368.81
  5. Step 5: Solve for x
    x = 13,541,368.81/5,068.38
  6. Step 6: Final answer
    x = 2,671.74

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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.