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Finding the Fourth Proportional to 5,656.16, 7,788.12 and 4,908.80

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Solution

The fourth proportional to 5,656.16, 7,788.12 and 4,908.80 is: 6,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.16 : 7,788.12 = 4,908.80 : x
  2. Step 2: Convert to fraction form
    5,656.16/7,788.12 = 4,908.80/x
  3. Step 3: Cross multiply
    5,656.16x = 7,788.12 × 4,908.80
  4. Step 4: Simplify right side
    5,656.16x = 38,230,323.46
  5. Step 5: Solve for x
    x = 38,230,323.46/5,656.16
  6. Step 6: Final answer
    x = 6,759.06

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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.