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Finding the Fourth Proportional to 5,637.85, 7,776.93 and 3,398.30

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Solution

The fourth proportional to 5,637.85, 7,776.93 and 3,398.30 is: 4,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.85 : 7,776.93 = 3,398.30 : x
  2. Step 2: Convert to fraction form
    5,637.85/7,776.93 = 3,398.30/x
  3. Step 3: Cross multiply
    5,637.85x = 7,776.93 × 3,398.30
  4. Step 4: Simplify right side
    5,637.85x = 26,428,341.22
  5. Step 5: Solve for x
    x = 26,428,341.22/5,637.85
  6. Step 6: Final answer
    x = 4,687.66

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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.