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Finding the Fourth Proportional to 5,642.88, 7,788.16 and 3,548.16

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Solution

The fourth proportional to 5,642.88, 7,788.16 and 3,548.16 is: 4,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.88 : 7,788.16 = 3,548.16 : x
  2. Step 2: Convert to fraction form
    5,642.88/7,788.16 = 3,548.16/x
  3. Step 3: Cross multiply
    5,642.88x = 7,788.16 × 3,548.16
  4. Step 4: Simplify right side
    5,642.88x = 27,633,637.79
  5. Step 5: Solve for x
    x = 27,633,637.79/5,642.88
  6. Step 6: Final answer
    x = 4,897.08

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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.