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Finding the Fourth Proportional to 5,637.29, 7,780.74 and 3,398.45

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Solution

The fourth proportional to 5,637.29, 7,780.74 and 3,398.45 is: 4,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.29 : 7,780.74 = 3,398.45 : x
  2. Step 2: Convert to fraction form
    5,637.29/7,780.74 = 3,398.45/x
  3. Step 3: Cross multiply
    5,637.29x = 7,780.74 × 3,398.45
  4. Step 4: Simplify right side
    5,637.29x = 26,442,455.85
  5. Step 5: Solve for x
    x = 26,442,455.85/5,637.29
  6. Step 6: Final answer
    x = 4,690.63

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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.