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Finding the Fourth Proportional to 5,783.16, 7,979.67 and 3,545.40

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Solution

The fourth proportional to 5,783.16, 7,979.67 and 3,545.40 is: 4,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.16 : 7,979.67 = 3,545.40 : x
  2. Step 2: Convert to fraction form
    5,783.16/7,979.67 = 3,545.40/x
  3. Step 3: Cross multiply
    5,783.16x = 7,979.67 × 3,545.40
  4. Step 4: Simplify right side
    5,783.16x = 28,291,122.02
  5. Step 5: Solve for x
    x = 28,291,122.02/5,783.16
  6. Step 6: Final answer
    x = 4,891.98

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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.