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Finding the Fourth Proportional to 5,642, 7,780.84 and 4,845.08

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Solution

The fourth proportional to 5,642, 7,780.84 and 4,845.08 is: 6,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 7,780.84 = 4,845.08 : x
  2. Step 2: Convert to fraction form
    5,642/7,780.84 = 4,845.08/x
  3. Step 3: Cross multiply
    5,642x = 7,780.84 × 4,845.08
  4. Step 4: Simplify right side
    5,642x = 37,698,792.27
  5. Step 5: Solve for x
    x = 37,698,792.27/5,642
  6. Step 6: Final answer
    x = 6,681.81

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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.