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Finding the Fourth Proportional to 5,659.68, 7,808.16 and 3,560.16

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Solution

The fourth proportional to 5,659.68, 7,808.16 and 3,560.16 is: 4,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.68 : 7,808.16 = 3,560.16 : x
  2. Step 2: Convert to fraction form
    5,659.68/7,808.16 = 3,560.16/x
  3. Step 3: Cross multiply
    5,659.68x = 7,808.16 × 3,560.16
  4. Step 4: Simplify right side
    5,659.68x = 27,798,298.91
  5. Step 5: Solve for x
    x = 27,798,298.91/5,659.68
  6. Step 6: Final answer
    x = 4,911.64

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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.