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Finding the Fourth Proportional to 5,109.93, 7,035.53 and 4,642.78

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Solution

The fourth proportional to 5,109.93, 7,035.53 and 4,642.78 is: 6,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.93 : 7,035.53 = 4,642.78 : x
  2. Step 2: Convert to fraction form
    5,109.93/7,035.53 = 4,642.78/x
  3. Step 3: Cross multiply
    5,109.93x = 7,035.53 × 4,642.78
  4. Step 4: Simplify right side
    5,109.93x = 32,664,417.97
  5. Step 5: Solve for x
    x = 32,664,417.97/5,109.93
  6. Step 6: Final answer
    x = 6,392.34

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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.