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Finding the Fourth Proportional to 5,638.58, 7,788.68 and 4,328.48

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Solution

The fourth proportional to 5,638.58, 7,788.68 and 4,328.48 is: 5,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.58 : 7,788.68 = 4,328.48 : x
  2. Step 2: Convert to fraction form
    5,638.58/7,788.68 = 4,328.48/x
  3. Step 3: Cross multiply
    5,638.58x = 7,788.68 × 4,328.48
  4. Step 4: Simplify right side
    5,638.58x = 33,713,145.61
  5. Step 5: Solve for x
    x = 33,713,145.61/5,638.58
  6. Step 6: Final answer
    x = 5,979.01

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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.