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Finding the Fourth Proportional to 5,685.08, 7,846.36 and 3,294.64

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Solution

The fourth proportional to 5,685.08, 7,846.36 and 3,294.64 is: 4,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.08 : 7,846.36 = 3,294.64 : x
  2. Step 2: Convert to fraction form
    5,685.08/7,846.36 = 3,294.64/x
  3. Step 3: Cross multiply
    5,685.08x = 7,846.36 × 3,294.64
  4. Step 4: Simplify right side
    5,685.08x = 25,850,931.51
  5. Step 5: Solve for x
    x = 25,850,931.51/5,685.08
  6. Step 6: Final answer
    x = 4,547.15

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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.