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Finding the Fourth Proportional to 5,670.68, 7,823.01 and 3,780.43

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Solution

The fourth proportional to 5,670.68, 7,823.01 and 3,780.43 is: 5,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.68 : 7,823.01 = 3,780.43 : x
  2. Step 2: Convert to fraction form
    5,670.68/7,823.01 = 3,780.43/x
  3. Step 3: Cross multiply
    5,670.68x = 7,823.01 × 3,780.43
  4. Step 4: Simplify right side
    5,670.68x = 29,574,341.69
  5. Step 5: Solve for x
    x = 29,574,341.69/5,670.68
  6. Step 6: Final answer
    x = 5,215.31

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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.